ABI Layer 4: prove the FFI result-code seam is injective + faithful#43
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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
Signed-off-by: Jonathan D.A. Jewell <6759885+hyperpolymath@users.noreply.github.com>
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Summary
Layer 4 (seal the ABI↔FFI seam): proves the FFI result-code encoding (
resultToInt) is a sound, lossless wire encoding — decoderintToResultwithresultRoundTrip, from whichresultToIntInjectiveis derived. Distinct ABI outcomes never collide on the C wire. Complements the structuralabi-ffi-gate.py.New module
*.ABI.FfiSeam(importsTypes). Positive + non-vacuity controls.Testing
Idris2 0.7.0
--build→ exit 0, zero warnings. Adversarial rejection confirmed.build/removed. Nobelieve_me/postulate/sorry.🤖 Generated with Claude Code
https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Generated by Claude Code