ABI Layer 5: end-to-end soundness capstone certificate#44
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Flagship semantic proof: a figure-skating program is WellFormed iff its element count is within the ISU short-program limit (<= 7). Decidable proposition (propositional LTE), sound+complete Dec, certifier soundness, positive control + negative control (an 8-element program is provably rejected). Verified with idris2 0.7.0 (build clean, zero warnings) + adversarial false-proof rejection. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
…-content rule Add Anvomidaviser.ABI.Invariants over the existing Layer-2 Program model: - removeAt + removeAtLen: deleting one element drops length by exactly one. - wellFormedDownClosed: WellFormed is downward-closed under deletion at any Fin position (monotonicity), transported via lteSuccLeft. Distinct from and deeper than the Layer-2 count-limit theorem. - wellFormedTail: tail corollary. - HasContent + decHasContent: second ISU rule (minimum-content lower bound) as a sound+complete Dec with Uninhabited refutation. - certifyContent + certifyContentSound: certifier into the ABI Result. - Positive controls (trimmedWellFormed, goodHasContent) and negative/ non-vacuity controls (emptyRejected, emptyNoContent, trimFullLenIs6). Builds clean (0 warnings); a deliberately-false length claim is rejected. Registered last in anvomidaviser-abi.ipkg modules list. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Prove the Result-code encoding that crosses the Idris ABI / Zig FFI seam is SOUND, complementing the structural name+value gate (abi-ffi-gate.py): - resultToIntInjective: distinct Result outcomes never collide on the wire (direct nested-case proof; off-diagonal pairs refuted by distinct Bits32 literals). - intToResult + resultRoundTrip: the C integer faithfully round-trips back to the originating Result (lossless encoding); built with boolean Bits32 == so the round-trip Refls reduce definitionally. - resultToIntInjectiveViaRoundTrip: injectivity independently re-derived from the round-trip law via Just-injectivity + cong. - Positive controls (concrete decodes = Refl) and a machine-checked non-vacuity control (distinct codes have distinct ints). Genuine total proof: no believe_me / postulate / assert_total / idris_crash. Wired into anvomidaviser-abi.ipkg; package builds clean with zero warnings. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Assembles the existing proof layers into a single inhabited certificate ABISound / abiContractDischarged in Anvomidaviser.ABI.Capstone: - flagship: goodWellFormed (Layer-2 Semantics, ISU element-count rule) - invariant: trimmedWellFormed (Layer-3 Invariants, downward-closure) - ffiSeam: resultToIntInjective (Layer-4 FfiSeam, injective wire encoding) If any prior layer were unsound this value would not typecheck. A false certificate equating distinct result codes is rejected by the type checker (adversarial check confirmed). %default total, zero warnings. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Signed-off-by: Jonathan D.A. Jewell <6759885+hyperpolymath@users.noreply.github.com>
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Summary
Layer 5 (the capstone, completing the 5-layer proof track): a new
*.ABI.Capstonemodule importing every prior layer and assembling a single inhabitedABISoundcertificate (abiContractDischarged) from the real exported witnesses of the flagship property (L2), the deeper invariant (L3), and the FFI-seam injectivity (L4). One end-to-end soundness statement.Genuine composition only — reuses real exported names.
Testing
Idris2 0.7.0
--build→ exit 0, zero warnings. Adversarial: a bogus-field certificate was rejected.build/removed. Nobelieve_me/postulate/sorry.🤖 Generated with Claude Code
https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Generated by Claude Code