{
"meta": {
"name": "tpc_sr3_scope_corpus",
"version": "0.1.3",
"status": "PROPOSED 2026-09-26 (D180.3, taken 2026-09-26; the interim of TPS 4.4.13 and 4.2.13 as staged for revision 6, provisional numbers); awaiting the supervisor's verification",
"conforms_tps": "0.2.0 (v15), with D180.3's texts T-C3 and T-C4 as staged (tpm_d179_d180_d181_texts 0.1.0)",
"module": "tpc_strike 0.2.1 (proposed with TPC-PY 0.2.0; reads with tpc_zone 0.5.1's helpers, schema 0.5.0)",
"note": "Every expectation is hand-derived from the rule and the zone wording. The fixtures are the spring with its forms (examples/spring_draft.json), the zone corpus's toy and the tests corpus's FIX fixture, and one-change variants of them; test fixtures, not physics under research. Where a case is reachable only before the final pass its note says so. Both residences MUST reproduce every expect. 0.1.1 (schema 0.5.0; D176.1, D177.1): every fixture LAW carries a ROLE chosen by its physics (N2 EOM(v), KIN EOM(x), FREE_Z EOM(z)); sr3_scope reads no ROLE, so no expectation changed, and every final-pass status a note states holds under schema 0.5.0. 0.1.2 (S33, 2026-09-26): a LAW restating the motion of a FIXed or REMOVEd DOF carries ROLE CONSTRAINT (FREE_Z under C_NOZ; N2 and KIN where v or x is FIXed); a variant whose constraints leave z free gives FREE_Z EOM(z). No expectation moves. 0.1.3 (C-MS-5, increment 11, 2026-09-28): 11 decode/ cases, a JSON {} and [] and an object keyed 0 read as written in both residences; no earlier expectation moves."
},
"cases": [
{
"id": "sr3_scope/spring/E_z-fixed",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "C_NOZ FIXes z: a FIXed DOF is tested as TPS 4.4.4 and 4.4.8 state (T-C3)",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/spring/E_x-free",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_x"
},
"note": "no FIX CONSTRAINT targets x: a trajectory value, row 21 INSPECTION until C-16 (T-C3, T-C4)",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/spring/E_v-free",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_v"
},
"note": "no FIX CONSTRAINT targets v",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/spring/E_t-time",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_t"
},
"note": "the time DOF t, the independent variable, is an ordinary DOF here: no FIX targets it",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/toy/E_z-fixed",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x"
],
"ROLE": "EOM(v)"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v"
],
"ROLE": "EOM(x)"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z"
],
"ROLE": "CONSTRAINT"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
]
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v"
],
"IMAGE": "d/dt maps position to velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "the zone corpus's toy TFK, without forms and without t",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/toy/E_x-free",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x"
],
"ROLE": "EOM(v)"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v"
],
"ROLE": "EOM(x)"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z"
],
"ROLE": "CONSTRAINT"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
]
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v"
],
"IMAGE": "d/dt maps position to velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_x"
},
"expect": "INSPECTION"
},
{
"id": "sr3_scope/tests-fix/E_x-fixed",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1",
"VALUE": "2",
"UNIT": "kg"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2",
"VALUE": "3",
"UNIT": "N m-1"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
},
{
"NAME": "C_X",
"TARGET": "x",
"ACTION": "FIX",
"VALUE": "0.1",
"UNIT": "m",
"STATEMENT": "x = 0.1 m"
},
{
"NAME": "C_V",
"TARGET": "v",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m s-1",
"STATEMENT": "v = 0 m s-1"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_x"
},
"note": "the tests corpus's FIX fixture; its TPK fails T3 over the laws at the final pass (N2 evaluates 0 = -0.3), which sr3_scope does not read",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/tests-fix/E_v-fixed",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1",
"VALUE": "2",
"UNIT": "kg"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2",
"VALUE": "3",
"UNIT": "N m-1"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
},
{
"NAME": "C_X",
"TARGET": "x",
"ACTION": "FIX",
"VALUE": "0.1",
"UNIT": "m",
"STATEMENT": "x = 0.1 m"
},
{
"NAME": "C_V",
"TARGET": "v",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m s-1",
"STATEMENT": "v = 0 m s-1"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_v"
},
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/tests-fix/E_t-time",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1",
"VALUE": "2",
"UNIT": "kg"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2",
"VALUE": "3",
"UNIT": "N m-1"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
},
{
"NAME": "C_X",
"TARGET": "x",
"ACTION": "FIX",
"VALUE": "0.1",
"UNIT": "m",
"STATEMENT": "x = 0.1 m"
},
{
"NAME": "C_V",
"TARGET": "v",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m s-1",
"STATEMENT": "v = 0 m s-1"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_t"
},
"expect": "INSPECTION"
},
{
"id": "sr3_scope/spring-fix-x/E_x-fixed",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
},
{
"NAME": "C_X",
"TARGET": "x",
"ACTION": "FIX",
"VALUE": "0.1",
"UNIT": "m",
"STATEMENT": "x = 0.1 m"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_x"
},
"note": "the spring with x also FIXed; passes the final pass",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/spring-fix-x/E_v-free",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
},
{
"NAME": "C_X",
"TARGET": "x",
"ACTION": "FIX",
"VALUE": "0.1",
"UNIT": "m",
"STATEMENT": "x = 0.1 m"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_v"
},
"expect": "INSPECTION"
},
{
"id": "sr3_scope/remove-only/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_ZR",
"TARGET": "z",
"ACTION": "REMOVE",
"STATEMENT": "no z"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "a REMOVE constraint does not count. Reachable only before the final pass: the gate refuses an entry on a REMOVEd DOF (CODOMAIN, D107.1)",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/remove-only/E_x",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_ZR",
"TARGET": "z",
"ACTION": "REMOVE",
"STATEMENT": "no z"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_x"
},
"expect": "INSPECTION"
},
{
"id": "sr3_scope/removed-no-entry/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_ZR",
"TARGET": "z",
"ACTION": "REMOVE",
"STATEMENT": "no z"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "after the gate a REMOVEd DOF carries no entry (D107.1), so no QUANTITY names it; passes the final pass",
"expect": "[REFUSED,QUANTITY E_z names no TrM entry]"
},
{
"id": "sr3_scope/removed-no-entry/E_x",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_ZR",
"TARGET": "z",
"ACTION": "REMOVE",
"STATEMENT": "no z"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_x"
},
"expect": "INSPECTION"
},
{
"id": "sr3_scope/fix-and-fix-same-value/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
},
{
"NAME": "C_Z2",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "cm",
"STATEMENT": "z = 0 cm"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "two FIX of z at one value (tests corpus t3/same-value); passes the final pass",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/fix-and-remove/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
},
{
"NAME": "C_ZR",
"TARGET": "z",
"ACTION": "REMOVE",
"STATEMENT": "no z"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "a FIX targets z, so MECHANICAL; the gate refuses this TFK (T3: z is both removed and fixed; CODOMAIN)",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/remove-then-fix/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_ZR",
"TARGET": "z",
"ACTION": "REMOVE",
"STATEMENT": "no z"
},
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "the order of the constraints does not matter",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/fix-and-fix-two-values/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
},
{
"NAME": "C_Z2",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "1",
"UNIT": "m",
"STATEMENT": "z = 1 m"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "the gate refuses this TFK (T3: z fixed at 0 m and at 1 m)",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/fix-other-dof/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "EOM(z)",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_X",
"TARGET": "x",
"ACTION": "FIX",
"VALUE": "0.1",
"UNIT": "m",
"STATEMENT": "x = 0.1 m"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "a FIX of another DOF does not count: z free, x FIXed; passes the final pass",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/unknown/E_w",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_w"
},
"expect": "[REFUSED,QUANTITY E_w names no TrM entry]"
},
{
"id": "sr3_scope/unknown/constant-k_s",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "k_s"
},
"note": "a CONSTANT is not a TrM entry; an M record's QUANTITY names a TrM entry (PMP-TPM VOCABULARY)",
"expect": "[REFUSED,QUANTITY k_s names no TrM entry]"
},
{
"id": "sr3_scope/unknown/constant-x_max",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "x_max"
},
"note": "a CONSTANT with VALUE, UNIT and UNCERTAINTY is still not a TrM entry",
"expect": "[REFUSED,QUANTITY x_max names no TrM entry]"
},
{
"id": "sr3_scope/unknown/dof-name-z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "z"
},
"note": "the DOF's NAME is not its entry's NAME, even for the FIXed DOF",
"expect": "[REFUSED,QUANTITY z names no TrM entry]"
},
{
"id": "sr3_scope/unknown/law-N2",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "N2"
},
"expect": "[REFUSED,QUANTITY N2 names no TrM entry]"
},
{
"id": "sr3_scope/unknown/constraint-C_NOZ",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "C_NOZ"
},
"expect": "[REFUSED,QUANTITY C_NOZ names no TrM entry]"
},
{
"id": "sr3_scope/unknown/environment-quantity-height",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "height"
},
"note": "an ENVIRONMENT_QUANTITY is not an entry's NAME",
"expect": "[REFUSED,QUANTITY height names no TrM entry]"
},
{
"id": "sr3_scope/empty-entries/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": []
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,QUANTITY E_z names no TrM entry]"
},
{
"id": "sr3_scope/duplicate/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "two entries of the NAME asked: the answer would be ambiguous (trm_well_formed's words)",
"expect": "[REFUSED,TrM: duplicate entry name E_z]"
},
{
"id": "sr3_scope/duplicate-other/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
},
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "a duplicate of another NAME does not change the answer and is trm_well_formed's to report",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/case/e_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "e_z"
},
"expect": "[REFUSED,QUANTITY e_z names no TrM entry]"
},
{
"id": "sr3_scope/case/E_Z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_Z"
},
"expect": "[REFUSED,QUANTITY E_Z names no TrM entry]"
},
{
"id": "sr3_scope/case/two-entries/e_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
},
{
"NAME": "e_z",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x read on a second scale",
"FALSIFIER": "the two scales disagree",
"FALSIFIER_CLASS": "F2",
"BEARS": [],
"DIMENSION": "L1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "e_z"
},
"note": "entries E_z (DOF z) and e_z (DOF x): NAMEs match exactly",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/case/two-entries/E_z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
},
{
"NAME": "e_z",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x read on a second scale",
"FALSIFIER": "the two scales disagree",
"FALSIFIER_CLASS": "F2",
"BEARS": [],
"DIMENSION": "L1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/case/target-Z",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "Z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "TARGET Z is not the DOF z (T1 refuses it: TARGET Z is not a DOF)",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/case/action-fix-lower",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "fix",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "only ACTION FIX counts (T1 refuses it: ACTION fix is not REMOVE or FIX)",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/quantity/integer",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": 5
},
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/quantity/null",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": null
},
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/quantity/empty",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": ""
},
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/quantity/space",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E z"
},
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/quantity/zero-width",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z\u200b"
},
"note": "a hidden character: refused, not echoed",
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/quantity/trailing-newline",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z\n"
},
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/quantity/leading-digit",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "1E"
},
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/quantity/non-ascii",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "\u00c9_z"
},
"note": "NAMEs are ASCII identifiers",
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/quantity/list",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": [
"E_z"
]
},
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/quantity/first",
"fn": "sr3_scope",
"input": {
"tfk": "x",
"quantity": 5
},
"note": "the QUANTITY is read before the TFK",
"expect": "[REFUSED,QUANTITY is not an identifier]"
},
{
"id": "sr3_scope/tfk/string",
"fn": "sr3_scope",
"input": {
"tfk": "x",
"quantity": "E_z"
},
"expect": "[REFUSED,TFK is not an object]"
},
{
"id": "sr3_scope/tfk/null",
"fn": "sr3_scope",
"input": {
"tfk": null,
"quantity": "E_z"
},
"expect": "[REFUSED,TFK is not an object]"
},
{
"id": "sr3_scope/tfk/list",
"fn": "sr3_scope",
"input": {
"tfk": [
1
],
"quantity": "E_z"
},
"expect": "[REFUSED,TFK is not an object]"
},
{
"id": "sr3_scope/tfk/integer",
"fn": "sr3_scope",
"input": {
"tfk": 7,
"quantity": "E_z"
},
"expect": "[REFUSED,TFK is not an object]"
},
{
"id": "sr3_scope/tfk/empty-object",
"fn": "sr3_scope",
"input": {
"tfk": {},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM: zone is not an object]"
},
{
"id": "sr3_scope/trm/missing",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM: zone is not an object]"
},
{
"id": "sr3_scope/trm/string",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": "E_z",
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM: zone is not an object]"
},
{
"id": "sr3_scope/entries/missing",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
}
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM: missing part ENTRIES]"
},
{
"id": "sr3_scope/entries/string",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": "E_z"
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM ENTRIES is not a list]"
},
{
"id": "sr3_scope/entries/object",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": {
"E_z": {
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
}
}
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM ENTRIES is not a list]"
},
{
"id": "sr3_scope/entries/null",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": null
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM ENTRIES is not a list]"
},
{
"id": "sr3_scope/entry/string",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
},
"E_w"
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM ENTRIES: entry is not an object]"
},
{
"id": "sr3_scope/entry/list",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
},
[
"E_w"
]
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM ENTRIES: entry is not an object]"
},
{
"id": "sr3_scope/entry/name-missing",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,ENTRY:?: missing field NAME]"
},
{
"id": "sr3_scope/entry/name-integer",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": 5,
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,ENTRY:?: field NAME has the wrong type]"
},
{
"id": "sr3_scope/entry/name-null",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": null,
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,ENTRY:?: field NAME has the wrong type]"
},
{
"id": "sr3_scope/entry/dof-missing",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,ENTRY:E_z: missing field DOF]"
},
{
"id": "sr3_scope/entry/dof-list",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": [
"z"
],
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,ENTRY:E_z: field DOF has the wrong type]"
},
{
"id": "sr3_scope/entry/other-dof-missing",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "every entry's NAME and DOF is read, not only the matched entry's",
"expect": "[REFUSED,ENTRY:E_x: missing field DOF]"
},
{
"id": "sr3_scope/entry/after-match",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
},
{
"NAME": "E_w",
"DOMAIN": "always"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "every entry is read before the answer, those after the matched one included",
"expect": "[REFUSED,ENTRY:E_w: missing field DOF]"
},
{
"id": "sr3_scope/entry/hidden-character-escaped",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
},
{
"NAME": "E\u202ew"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "a reason that quotes input escapes disallowed code points (zone schemas 6.3)",
"expect": "[REFUSED,ENTRY:E<U+202E>w: missing field DOF]"
},
{
"id": "sr3_scope/tpk/missing",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TPK: zone is not an object]"
},
{
"id": "sr3_scope/tpk/list",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": [
1
],
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TPK: zone is not an object]"
},
{
"id": "sr3_scope/constraint/kind-absent",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "EOM(z)",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "an absent kind holds no entry, as T1 reads a TPK: no FIX, so INSPECTION",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/constraint/kind-empty",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "EOM(z)",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "INSPECTION"
},
{
"id": "sr3_scope/constraint/kind-string",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": "C_NOZ",
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TPK kind CONSTRAINT is not a list]"
},
{
"id": "sr3_scope/constraint/kind-null",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": null,
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TPK kind CONSTRAINT is not a list]"
},
{
"id": "sr3_scope/constraint/entry-string",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
"C_NOZ"
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TPK kind CONSTRAINT: entry is not an object]"
},
{
"id": "sr3_scope/constraint/target-missing",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,CONSTRAINT:C_NOZ: missing field TARGET]"
},
{
"id": "sr3_scope/constraint/action-integer",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": 1,
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,CONSTRAINT:C_NOZ: field ACTION has the wrong type]"
},
{
"id": "sr3_scope/constraint/unnamed-target-missing",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,CONSTRAINT:?: missing field TARGET]"
},
{
"id": "sr3_scope/constraint/other-target-null",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
},
{
"NAME": "C_R",
"TARGET": null,
"ACTION": "REMOVE",
"STATEMENT": "no x"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_z"
},
"note": "every constraint's TARGET and ACTION is read, a REMOVE of another DOF included",
"expect": "[REFUSED,CONSTRAINT:C_R: field TARGET has the wrong type]"
},
{
"id": "sr3_scope/tms/not-read",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": {
"DOF": [
{
"NAME": "x",
"DIMENSION": "L1"
},
{
"NAME": "v",
"DIMENSION": "L1 T-1"
},
{
"NAME": "z",
"DIMENSION": "L1"
},
{
"NAME": "t",
"DIMENSION": "T1"
}
],
"CONSTANT": [
{
"NAME": "m",
"DIMENSION": "M1"
},
{
"NAME": "k_s",
"DIMENSION": "M1 T-2"
},
{
"NAME": "x_max",
"DIMENSION": "L1",
"VALUE": "0.05",
"UNIT": "m",
"UNCERTAINTY": "0.001"
}
],
"LAW": [
{
"NAME": "N2",
"STATEMENT": "m dv/dt = -k_s x",
"REFS": [
"m",
"v",
"k_s",
"x",
"t"
],
"ROLE": "EOM(v)",
"EQUATION": "m * D(v, t) = -k_s * x"
},
{
"NAME": "KIN",
"STATEMENT": "dx/dt = v",
"REFS": [
"x",
"v",
"t"
],
"ROLE": "EOM(x)",
"EQUATION": "D(x, t) = v"
},
{
"NAME": "FREE_Z",
"STATEMENT": "d2z/dt2 = 0",
"REFS": [
"z",
"t"
],
"ROLE": "CONSTRAINT",
"EQUATION": "D(z, t, 2) = 0"
}
],
"ASSUMPTION": [
{
"NAME": "A_lin",
"PROPOSITION": "the restoring force is linear in x (Hooke r\u00e9gime)",
"REFS": [
"x"
]
}
],
"CONSTRAINT": [
{
"NAME": "C_NOZ",
"TARGET": "z",
"ACTION": "FIX",
"VALUE": "0",
"UNIT": "m",
"STATEMENT": "motion confined to z = 0"
}
],
"BOUNDARY": [
{
"NAME": "B_small",
"PREDICATE": "|x| < x_max",
"REFS": [
"x",
"x_max"
],
"CONDITION": "abs(x) < x_max"
}
]
},
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
}
},
"quantity": "E_z"
},
"note": "the TMS is not read",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/order/trm-before-tpk",
"fn": "sr3_scope",
"input": {
"tfk": {
"TPK": "x",
"TrM": {
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"ENVIRONMENT_QUANTITY": "position",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "velocity",
"DIMENSION": "L1 T-1"
},
{
"ENVIRONMENT_QUANTITY": "height",
"DIMENSION": "L1"
},
{
"ENVIRONMENT_QUANTITY": "time",
"DIMENSION": "T1"
}
],
"SIGNATURE": [
{
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
],
"IMAGE": "d/dt maps position to velocity",
"FORM": "D(x, t) = v",
"IMAGE_FORM": "D(position, time) = velocity"
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
},
"ENTRIES": [
{
"NAME": "E_x",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"IDENTIFICATION": "x is the displacement from equilibrium along the spring axis",
"FALSIFIER": "a measured restoring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"N2",
"KIN"
],
"DIMENSION": "L1"
},
{
"NAME": "E_v",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"IDENTIFICATION": "v is the time derivative of x",
"FALSIFIER": "a measured velocity differing from dx/dt beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1"
},
{
"NAME": "E_z",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "height",
"IDENTIFICATION": "z is the height above the track",
"FALSIFIER": "any measured z different from 0",
"FALSIFIER_CLASS": "F3",
"BEARS": [
"FREE_Z",
"C_NOZ"
],
"DIMENSION": "L1"
},
{
"NAME": "E_t",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"IDENTIFICATION": "t is the laboratory clock reading",
"FALSIFIER": "two laboratory clocks that disagree beyond their stated uncertainty",
"FALSIFIER_CLASS": "F3",
"BEARS": [],
"DIMENSION": "T1"
}
]
},
"TMS": {
"PARAMETERS": {
"STEP_CONVENTION": "one application of an inference rule or algebraic identity is one step",
"K": "2",
"N_X": 2,
"S_MAX": 10
},
"CONSTANTS": [
{
"NAME": "w_a",
"VALUE": "1"
},
{
"NAME": "w_s",
"VALUE": "0.5"
}
],
"YARDSTICKS": [
{
"NAME": "combined_distance",
"KEY": [
"SR1",
"WSUM:w_a*A;w_s*S",
"S"
],
"LIMITING": []
}
]
}
},
"quantity": "E_w"
},
"note": "the TrM is read, and the QUANTITY resolved, before the TPK",
"expect": "[REFUSED,QUANTITY E_w names no TrM entry]"
},
{
"id": "sr3_scope/decode/control-mechanical",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"ENTRIES": [
{
"NAME": "E_z",
"DOF": "z"
}
]
},
"TPK": {
"CONSTRAINT": [
{
"NAME": "C",
"TARGET": "z",
"ACTION": "FIX"
}
]
}
},
"quantity": "E_z"
},
"note": "the minimal shape sr3_scope reads",
"expect": "MECHANICAL"
},
{
"id": "sr3_scope/decode/tfk-list",
"fn": "sr3_scope",
"input": {
"tfk": [],
"quantity": "E_z"
},
"expect": "[REFUSED,TFK is not an object]"
},
{
"id": "sr3_scope/decode/trm-list",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": [],
"TPK": {
"CONSTRAINT": [
{
"NAME": "C",
"TARGET": "z",
"ACTION": "FIX"
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM: zone is not an object]"
},
{
"id": "sr3_scope/decode/entries-object",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"ENTRIES": {}
},
"TPK": {
"CONSTRAINT": [
{
"NAME": "C",
"TARGET": "z",
"ACTION": "FIX"
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM ENTRIES is not a list]"
},
{
"id": "sr3_scope/decode/entries-zero-keyed",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"ENTRIES": {
"0": {
"NAME": "E_z",
"DOF": "z"
}
}
},
"TPK": {
"CONSTRAINT": [
{
"NAME": "C",
"TARGET": "z",
"ACTION": "FIX"
}
]
}
},
"quantity": "E_z"
},
"note": "an object keyed 0 is not a list (it read as [E_z] and answered MECHANICAL)",
"expect": "[REFUSED,TrM ENTRIES is not a list]"
},
{
"id": "sr3_scope/decode/entry-list",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"ENTRIES": [
[]
]
},
"TPK": {
"CONSTRAINT": [
{
"NAME": "C",
"TARGET": "z",
"ACTION": "FIX"
}
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TrM ENTRIES: entry is not an object]"
},
{
"id": "sr3_scope/decode/tpk-list",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"ENTRIES": [
{
"NAME": "E_z",
"DOF": "z"
}
]
},
"TPK": []
},
"quantity": "E_z"
},
"expect": "[REFUSED,TPK: zone is not an object]"
},
{
"id": "sr3_scope/decode/tpk-empty-object",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"ENTRIES": [
{
"NAME": "E_z",
"DOF": "z"
}
]
},
"TPK": {}
},
"quantity": "E_z"
},
"note": "no CONSTRAINT kind: none fixes z",
"expect": "INSPECTION"
},
{
"id": "sr3_scope/decode/constraints-object",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"ENTRIES": [
{
"NAME": "E_z",
"DOF": "z"
}
]
},
"TPK": {
"CONSTRAINT": {}
}
},
"quantity": "E_z"
},
"note": "it read as no constraint and answered INSPECTION",
"expect": "[REFUSED,TPK kind CONSTRAINT is not a list]"
},
{
"id": "sr3_scope/decode/constraints-zero-keyed",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"ENTRIES": [
{
"NAME": "E_z",
"DOF": "z"
}
]
},
"TPK": {
"CONSTRAINT": {
"0": {
"NAME": "C",
"TARGET": "z",
"ACTION": "FIX"
}
}
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TPK kind CONSTRAINT is not a list]"
},
{
"id": "sr3_scope/decode/constraint-list",
"fn": "sr3_scope",
"input": {
"tfk": {
"TrM": {
"ENTRIES": [
{
"NAME": "E_z",
"DOF": "z"
}
]
},
"TPK": {
"CONSTRAINT": [
[]
]
}
},
"quantity": "E_z"
},
"expect": "[REFUSED,TPK kind CONSTRAINT: entry is not an object]"
}
]
}
