PR #34: Axiomatic substrate, Popperian falsification, Yeshua enforcement, Merkle totalization, ownership guard, and repository constitution#34
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[WIP] Enumerate repository materialization state and details
PR #34: Structural Enumeration & Enforcement Introspection (Hyper Paranoia Answering Department)
Feb 22, 2026
Co-authored-by: aidoruao <174227749+aidoruao@users.noreply.github.com>
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PR #34: Structural Enumeration & Enforcement Introspection (Hyper Paranoia Answering Department)
PR #34: Full 110-question ChatGPT structural enumeration audit (v2)
Feb 22, 2026
…lization, ownership guard, benchmarks, constitution Co-authored-by: aidoruao <174227749+aidoruao@users.noreply.github.com>
…iles, new root hash) Co-authored-by: aidoruao <174227749+aidoruao@users.noreply.github.com>
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PR #34: Full 110-question ChatGPT structural enumeration audit (v2)
PR #34: Axiomatic substrate, Popperian falsification, Yeshua enforcement, Merkle totalization, ownership guard, and repository constitution
Feb 22, 2026
This was referenced Feb 22, 2026
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ChatGPT's audit identified the repo as a partially-materialized enumeration. This PR actualizes a self-verifying mathematical substrate across 12 structural domains.
Foundational Axiom Layer (
axioms/)peano.py— P1–P5 machine-verifiable,peano_mulvia repeated addition, proof serialization. Single canonical import point overoe_ifm.logic.py—ProofObject(immutable, SHA-256 hash-carrying),modus_ponens,universal_instantiation,induction_rule,merkle_root_over_proofs.yeshua_axioms.py— 8 Yeshua axioms as machine-checkable constants;YeshuaClaimwith hash commitment;verify_yeshua_standard()→List[YeshuaViolation].Popperian Falsification Layer (
falsification/)hypothesis.py—Hypothesis(claim / assumptions / invariant / domain) + globalHYPOTHESIS_REGISTRY.counterexample_engine.py—run_falsification()raisesCounterexampleFoundon first failure.property_tests.py— H-001…H-005: Peano commutativity, successor injectivity, SHA-256 determinism, int64 idempotence, zero identity. All survive.Merkle Totalization (
merkle/)SHA-256(0x00 ∥ canonical_bytes). Internal:SHA-256(0x01 ∥ left ∥ right). Path-sorted.merkle/global_root.json— committed root (2732 files, depth 12).determinism/global_root.txt— plain hash for diffing.Yeshua Enforcement (
yeshua/enforcement.py)AST float-literal scan + nondeterminism pattern scan over core dirs (
generators/,oe_ifm/,axioms/,falsification/,yeshua/). ReturnsEnforcementReport. Currently 0 violations.Free Forever (
ownership_guard.py+LICENSE)Benchmarks (
benchmarks/run_benchmarks.py)Three metrics at threshold 1.0: determinism score, falsification survival rate, hash reproducibility.
Enforcement Matrix
enforcement_matrix_generator.pyauto-generatesenforcement_matrix.json— invariants, falsification results, CI workflow hashes, test file hashes, global Merkle root, Yeshua report, self-hash.CI (
constitution.yml)Four jobs,
permissions: contents: read:root_hash.requirements.txtcheck + SBOM artifact upload.REPO_CONSTITUTION.md7-article irrevocable constitution: Peano/Yeshua axioms, enforcement guarantees, CC0 openness, Merkle commitment, truth-derivation mandate. Included in the global Merkle tree.
Tests
51 new tests across 5 files covering every new module.
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