ABI Layer 5: end-to-end soundness capstone certificate#41
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Add Lustreiser.ABI.Semantics, raising the Idris2 ABI to Layer 2 with a machine-checked flagship proof of the repo headline (formally verified real-time embedded code via Lustre). Faithful model: a synchronous saturating bounded-counter Lustre node with Tick/Reset inputs, a static cap, and one-tick state memory; step/run give the synchronous execution semantics. Properties proven (no believe_me/postulate/assert): - Invariant preservation per tick: WithinBound c -> WithinBound (step i c) for every input, lifted to whole runs via runPreservesBound (no overflow). - Determinism (synchronous hypothesis): equal input streams from equal state yield equal output streams. - Sound+complete Dec (decWithinBound) + sound certifier (certifyBoundSound). - Positive controls (explicit witnesses, incl. a run that saturates) and a machine-checked negative control (overflowNotWithinBound) ensuring non-vacuity; a deliberately false witness is rejected by idris2. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
…tInc monotonicity Adds Lustreiser.ABI.Invariants over the existing Semantics model (same Input/CounterNode/satInc/step/run). Proves a deeper, distinct class of property than the Layer-2 bound/cong-determinism: - FLAGSHIP: runAppend — run (xs ++ ys) c = run ys (run xs c), the monoid action / fold-fusion law, by genuine induction on the prefix (not cong). - Corollaries: runConsSplit, runResetClears, runEndingInResetIsZero (transition soundness consumed through runAppend). - ORTHOGONAL: satIncMonotone — order preservation of the saturating successor (m <= n => satInc cap m <= satInc cap n), plus stepTickMonotone. - decEqInput: sound+complete Dec for input equality. - Positive controls (appendWitness, resetSuffixWitness, monotoneWitness) and non-vacuity controls (prefixMatters, inputsDistinct, satIncNotConstant, all Not (...)). No believe_me/postulate/assert/idris_crash. %default total. Clean build, zero warnings; adversarial false-equality check rejected. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Add Lustreiser.ABI.FfiSeam proving the FFI result-code encoding is sound: - resultToIntInjective: distinct Result outcomes never collide on the wire - intToResult + resultRoundTrip: faithful/lossless decode (injectivity derived) - positive controls (concrete decodes = Refl) and a non-vacuity negative control (distinct codes have distinct ints, machine-checked) Genuine proof: %default total, no believe_me/postulate/assert_total/idris_crash. Builds clean (idris2 0.7.0) with zero warnings; false seam claim rejected. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Assemble the existing prior-layer proofs into one inhabited certificate.
ABISound bundles the key proven facts, one field per layer, reusing the
ACTUAL exported witnesses (no reproving, no fabrication):
- Layer 2 (Semantics): safeWatchdogWithinBound + safeRunWithinBound
(per-tick / whole-run saturating-counter safety bound)
- Layer 3 (Invariants): appendWitness (run is a monoid action / fold-fusion)
+ monotoneWitness (satInc monotonicity)
- Layer 4 (FfiSeam): resultToIntInjective (result-code encoding injective)
abiContractDischarged : ABISound is the single inhabited capstone value: if
any prior layer were unsound it would fail to typecheck. Non-vacuity verified
adversarially — a bogus flagshipBound claiming WithinBound (MkCounter 2 5) is
rejected (no LTE 5 2 witness). Builds with zero warnings under Idris2 0.7.0.
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 counter-bound invariant), the deeper invariant (L3 monoid action), 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