ABI Layer 5: end-to-end soundness capstone certificate#45
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Add Ephapaxiser.ABI.Semantics: a faithful model of single-use token state with the headline linearity property machine-checked. - Token (Fresh|Spent) with explicit consumed-state index. - Consumable t: proposition with NO constructor for the Spent (bad) case; Uninhabited (Consumable (spent token)) discharged by impossible clause. - Consumed before after: certificate of the unique Fresh -> Spent step. - consume: advances a Fresh token to Spent given Consumable evidence. - decConsumable: total, sound + complete Dec. - certifyConsume into the shared Result codes (Ok / AlreadyConsumed), with certifyConsumeSound (no believe_me) and certifySpentRejected. - Positive controls: freshTokenConsumable, consumeFreshSeven. - Negative control: spentTokenNotConsumable : Not (Consumable spent). Builds clean (exit 0, zero warnings). A deliberately false proof that a spent token is Consumable is rejected by idris2, confirming the property is non-vacuous. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Adds Ephapaxiser.ABI.Invariants over the existing Layer-2 Semantics model
(reuses Token/Consumable/Consumed/consume; no redefinition). Proves two
deeper, distinct properties of the single-use transition itself:
1. NO-RESURRECTION (irreversibility): the spent post-state of any Consumed
certificate is never Consumable (postStateNotConsumable). Transition
soundness — every reachable post-state is dead.
2. DETERMINISM (uniqueness): the certificate is unique for a given source/
target (consumedUnique), the result identity is single-valued
(consumeResultDeterministic), with a sound+complete Dec (decConsumedEq)
and identity-preservation round-trip lemmas.
Includes positive controls (concrete inhabited witnesses) and negative/
non-vacuity controls (no-resurrection refutation; distinct ids stay distinct).
No axioms: no believe_me/idris_crash/assert_total/postulate/asserted equalities.
Builds clean (exit 0, zero warnings); both deliberately-false adversarial
proofs rejected. Registered last in ephapaxiser-abi.ipkg.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Prove the FFI result-code encoding resultToInt : Result -> Bits32 is sound: - intToResult decoder + resultRoundTrip (lossless/faithful encoding) - resultToIntInjective derived from the round-trip via justInj + cong - positive controls (concrete decodes = Refl) - non-vacuity controls (distinct codes have provably distinct ints) No ProofStatus/statusToInt enum exists in this repo, so only Result is sealed. Genuine total proof: no believe_me/postulate/assert_total/sorry. Builds clean with zero warnings; adversarial false claims (Ok=Error) rejected. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
…cate
Add Ephapaxiser.ABI.Capstone assembling the existing proof layers into one
inhabited certificate:
- ABISound record: flagship single-use witness (Semantics.freshTokenConsumable),
Layer-3 NO-RESURRECTION invariant (Invariants.noResurrectionThree), and
FFI-seam injectivity (FfiSeam.resultToIntInjective).
- abiContractDischarged : ABISound built solely from those real exported
witnesses — typechecks iff every prior layer is sound.
- Two positive-control projections + doc comment tying manifest -> ABI proofs
-> FFI seam into one end-to-end soundness statement.
Genuine composition only: no believe_me/postulate/assert_total/%hint. Build is
clean with zero warnings; an adversarial false certificate (positive Consumable
witness in the Not(Resurrection) field) is rejected by the type checker.
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; if any layer were unsound it wouldn't typecheck.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