CORE24_SOURCE_CORRESPONDENCE.md

Machine Native Reasoning

CORE24_SOURCE_CORRESPONDENCE.md

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Core 2.4 source correspondence

Source object or obligation Actual formal object or endpoint
Fixed candidate family T and distinguished reference A T : Theta -> A -> V ->_l[K] V, explicit theta0; source_core24_reference also accepts R with T theta0 = R
Words executing the first listed action first wordMap, wordMap_eq_run, wordMap_append
Propagated span E generators, discrepancy, generator_mem
All initial vectors, every fixed candidate, every finite word ObservableAgreement, checked again as pointwise equations in the API
E lies in the protected readout kernel agreement_iff_invisible
Reference invariance and invariance under every candidate reference_invariant, candidate_invariant
Actual quotient V/E and shared updates quotientUpdate, quotientUpdate_candidate
Descended protected readout quotientReadout, quotientReadout_mk
Existence of a complete common model CommonModel, canonicalModel, agreement_iff_commonModel
Necessary direction for arbitrary function updates/readout agreement_of_function_factor
Candidate switching between operations switchedMap, switched_quotient, switching_output
Finite span iteration terminates seed, closureStep, stage, bounded_plateau, stage_finrank_eq
Complete source endpoint source_core24, source_core24_reference

The canonical source, source PDF and 27-entry source index are unchanged. The existing result number, title, lines and printed page are checked against that index by the complete verifier. Source maps only record an accepted formal status when the current complete gates and comparison pass. The program's English prose is not certified merely because a declaration has a similar name.

The source speaks about a common linear quotient, not necessarily a minimal predictor. The formalization retains that distinction. Choosing another actual reference yields the same discrepancy submodule, but arbitrarily replacing the reference by a system outside the family can invalidate the equivalence.

Review level: source-to-formal reasoning review within this development, plus source-facing compiler checks and explicit counterexamples. No external independent review or historical-priority judgment is asserted.

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