ABI Layer 5: end-to-end soundness capstone certificate#44
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Adds Chapeliser.ABI.Invariants, a new machine-checked theorem deeper than
and distinct from the Layer-2 Partition tiling proof. Partition.idr proved
the block partition is a gapless, non-overlapping tiling for all n,k but
explicitly left open the arithmetic residual `sumNat (perItemCounts n k) = n`
("the only div/mod obligation"). This module discharges exactly that.
blockCountsComplete : (n,k') -> sumNat (blockCounts n k') = n proves every
item is covered exactly once, for ALL n and all k>0, via the Euclidean
division theorem (contrib Data.Nat.Division) plus a self-contained count of
remainder slots. Counts are expressed with the public-export divNatNZ/modNatNZ
(the reducing form of Prelude div/mod on a positive divisor) so the proof and
its concrete controls reduce at the type level.
Includes: a sound+complete Dec (decCoversExactly), positive controls
(covers10over3, covers12over4 by Refl + via the general theorem), and
non-vacuity/negative controls (notCovers10as9, dec10over3as9No,
remainderCountMatters). Genuine proof: no believe_me/postulate/assert_total/
sorry/admitted. Builds clean (0 warnings); a deliberately false variant is
rejected by the type checker.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
…I.FfiSeam) Add a new module proving the Result FFI encoding is sound: - intToResult decoder + resultRoundTrip: the C integer faithfully round-trips back to the ABI Result (lossless/faithful encoding). - resultToIntInjective: distinct ABI outcomes never collide on the wire, derived from the round-trip via justInj . cong intToResult. - Positive controls (concrete decode = Refl) and a machine-checked non-vacuity control: distinct codes have distinct ints. Genuine total proofs, no believe_me/postulate/assert_total/etc. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Assemble the existing proof layers into one inhabited certificate value in Chapeliser.ABI.Capstone: - ABISound record whose fields reuse real exported witnesses: * flagshipValid -> Proofs.tenAcrossTwoValid (Layer 2, complete+disjoint) * blockComplete -> Invariants.blockPartitionIsComplete 10 2 (Layer 3) * blockCompleteAll -> Invariants.blockCountsComplete (Layer 3, general) * ffiInjective -> FfiSeam.resultToIntInjective (Layer 4 seam) - abiContractDischarged : ABISound — the single inhabited capstone value; ties manifest -> ABI proofs (flagship + invariant) -> FFI seam into one end-to-end soundness statement. Stops typechecking if any layer weakens. No believe_me/postulate/assert_total/sorry/%hint; %default total; SPDX line 1. Build clean (0 warnings); adversarial false-field certificate is rejected. 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 (L2Partitioncorrectness), the deeper invariant (L3 div/mod completeness), 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