The Principia Machina/TPS/4.4 The strike rule: Difference between revisions
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Instruction artifact: TPS 0.1.0, page 4.4 The strike rule. Part of TPS 0.1.0 and the TPM hub. Human-only edit (TPS 5.13). Version 0.1.0, proposed; declaration pending. Governing section: this page, TPS 4.4. The text below is this page's unit of the TPS 0.1.0 artifact, verbatim; the whole artifact and its file digest are on The Principia Machina/TPS 0.1.0.
TPS 4.4 THE STRIKE RULE
purpose: SR1-SR9 in full
governs: 4.4 | version: 0.1.0 (proposed) | class: instruction artifact
audience: operator, agent
4.4.1 STRIKE RULE (D16). For the CAC's implementation (see 4.5, 5.3).
[I-068]
SR1 INVIOLABILITY. A record whose FINDING, taken with the TFK, derives a
contradiction is struck at CAC without ranking. [I-068]
SR2 STANDING. A record stands while its derivation from the TFK plus its
declared ASSUMPTIONS is valid and no standing record contradicts it.
[I-069]
SR3 REGIME. Each record is assigned one regime at allocation. L: the
FINDING is verifiable by re-derivation from the TFK plus ASSUMPTIONS
with no empirical input. M: the FINDING carries a value with a
combined standard uncertainty u_c per GUM. A record comparing an L
result with an external value is M, of the verification class.
Contradiction tests: L-L, the conjunction with the TFK derives a
contradiction. M-M, |x1 - x2| > k (u1^2 + u2^2)^(1/2) after SR8
scaling. L-M, the M value fails the M-M test against the L record's
derived value. k is a TMS parameter; CAC refuses certification of a
TMS that does not declare it. [I-070]
SR4 DISTANCE. d(r) = (a(r), s(r)), lexicographic, lower is closer. a(r):
the number of distinct ASSUMPTIONS in the closure of r - its own
plus those of every record it cites, transitively - excluding the
TFK. s(r): the number of derivation steps in r's own derivation
under the container's declared STEP CONVENTION, a TMS parameter.
[I-071]
SR5 ORDERING. Of two contradicting standing records, the one with
smaller d stands; the other is struck, and its ASSUMPTIONS outside
the closer record's closure are recorded as the locus. Equal d opens
an audit block. [I-072]
SR6 EXTRAORDINARY CASE. Contradictions of a standing record r are
independent when their extra-assumption sets are pairwise disjoint.
When the number of independent contradictions n_ind(r) reaches N_x,
an audit block opens on r; its decision item may strike r, restrict
the container's DOMAIN, or find against the contradicting records.
N_x is a TMS parameter, at least 2. Reaching N_x never strikes r by
itself. [I-073]
SR7 GOLD STANDARD. An M contradiction never strikes an L record's
derivation. If a(r) > 0 it is recorded against r's ASSUMPTIONS as a
named gap. If a(r) = 0 it is a finding against the TFK's DOMAIN and
lands as a DOMAIN restriction or a successor container under D5,
declared by a human. [I-074]
SR8 UNCERTAINTY DISCIPLINE. Every M record states u_c with its Type B
components enumerated. When N >= 2 standing M records of one
quantity give chi^2/(N-1) > 1, the scale factor S = [chi^2/(N-1)]^(1/2)
is applied to each before any contradiction test, S computed over
records with delta_i < 3 N^(1/2) delta_mean. A contradiction that
does not survive S is not a contradiction. [I-075]
SR9 COMPLIANCE. Every TMS entry passes at CAC certification:
C1 it never ranks a record failing SR1 above one passing it;
C2 within a regime, adding an ASSUMPTION never improves rank, except
in a declared limiting case naming its DOMAIN, applied only there;
C3 it is a total computable function of record fields;
C4 it does not let an M contradiction strike an L derivation;
C5 every constant it uses is a named immutable field. [I-076]
4.4.2 TMS PARAMETERS, per container, declared at instantiation and
tested at CAC: STEP CONVENTION (SR4); k (SR3); N_x (SR6); any
local yardsticks (see 2.4.5). [I-080]
4.4.3 The record fields the rule reads are ASSUMPTIONS, REGIME,
DERIVATION and, for M records, VALUE with u_c and its Type B list
(see 3.2). [C-16]