ABI Layer 5: end-to-end soundness capstone certificate#35
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Flagship semantic proof: totalCost (xs ++ ys) = totalCost xs + totalCost ys (conservation, by induction), plus a decidable WithinBudget proposition with sound+complete Dec, certifier soundness, and positive + negative controls (an over-budget ledger is provably rejected). Verified with idris2 0.7.0 (build clean, zero warnings) + adversarial rejection. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Add Eclexiaiser.ABI.Invariants, a second, deeper machine-checked theorem distinct from the Layer-2 conservation (additivity) proof. Reuses the existing Semantics model (Ledger, totalCost, WithinBudget) without redefining datatypes, and proves the ordering structure of cost accounting: - prefixMonotone / costMonotoneAppend: appending work never decreases total cost (an LTE inequality, derived via additivity + lteAddRight) — not the Layer-2 equality. - budgetWeakening: budget compliance is downward-closed in the budget (WithinBudget b l -> LTE b b2 -> WithinBudget b2 l), via hand-proven LTE transitivity. - decBudgetLE: sound+complete decision for the ordering side condition. - Positive controls (concrete monotone step, prefix split, weakened witness) plus non-vacuity controls (Not on a false equality and on a false ordering), all machine-checked. Builds with exit 0 and zero warnings; adversarial false-statement checks are rejected by the type-checker. Registered last in the .ipkg. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Add Eclexiaiser.ABI.FfiSeam proving the on-the-wire encoding resultToInt : Result -> Bits32 is sound: - resultRoundTrip: faithful/lossless — a decoder intToResult round-trips every Result through its C integer back to itself. - resultToIntInjective: distinct ABI outcomes never collide on the wire, DERIVED from the round-trip via a local justInj + cong/trans/sym. - Positive controls (concrete decodes = Refl) and two non-vacuity controls (distinct codes -> distinct ints, machine-checked). Genuine proof: no believe_me/postulate/assert_total/sorry. Builds with zero warnings; adversarial false claim (resultToInt Ok = resultToInt Error) is rejected by the checker. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Introduce Eclexiaiser.ABI.Capstone: a single end-to-end ABI soundness certificate that composes the existing prior-layer proofs into one inhabited value. - ABISound record bundles three proven facts, one per layer: * flagship — Layer-2 budget-compliance witness (Semantics.withinEx) * invariant — Layer-3 monotonicity bound (Invariants.monotoneStepEx) * ffiSeam — Layer-4 seam injectivity (FfiSeam.resultToIntInjective) - abiContractDischarged : ABISound is built solely from those real exported witnesses; it typechecks iff all layers are sound together. Genuine composition only (no believe_me/postulate/etc.). An adversarial false certificate (bogus over-budget flagship witness) was confirmed to be rejected by the typechecker. Build is 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 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 cost conservation), the deeper invariant (L3 monotonicity), 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