ABI Layer 5: end-to-end soundness capstone certificate#38
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Add Otpiser.ABI.Semantics: a faithful Idris2 model of a one-for-one OTP
supervisor (children keyed by id, each Running/Failed) and a restart step,
with machine-checked proofs of the headline fault-tolerance invariant:
- restartPreservesChildSet: restarting any child leaves the ordered set
of supervised child ids unchanged (real propositional equality).
- restartLeavesOthersUntouched: every sibling whose id differs from the
target survives the restart byte-for-byte identical (Elem soundness).
- restartHeadRuns / RestartedRunning: the targeted child is set Running.
Positive controls exhibit concrete witnesses over a 3-worker supervisor;
the negative control (negativeSiblingNotReset) refutes, by machine, the
OneForAll-style claim that a failed sibling is reset — establishing the
property is non-vacuous. No believe_me / postulate / assert_total.
Registered in otpiser-abi.ipkg; ABI builds clean with zero warnings.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
…hed)
Add Otpiser.ABI.Invariants, a second machine-checked theorem distinct from
and deeper than the Layer-2 one-for-one flagship. Reuses the Semantics model
(Child/ChildStatus/Supervisor) and reasons about the rest_for_one transition:
T1 IDEMPOTENCE (algebraic law): restForOne target . restForOne target
= restForOne target -- a genuine fixpoint, proven via a triggered-branch
lemma; not a restatement of "siblings untouched".
T2 child-id-set preservation across the rest-for-one transition.
T3 prefix-untouched: children strictly before the target survive identically
(the directional core of rest-for-one), via a BeforeTarget certificate.
T4 sound+complete Dec (decIsTargetHead) + certifier.
Five positive controls (concrete witnesses incl. Refl-checked transition shape
and idempotence) and three negative/non-vacuity controls (Not-Elem refutation,
decision refutation, not-the-identity). No believe_me/postulate/assert_total;
%default total; SPDX MPL-2.0. Registered last in otpiser-abi.ipkg. Clean build
(0 warnings); adversarial false-equality check rejected.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Prove the FFI result-code/enum encoding is sound: distinct ABI outcomes never collide on the C wire (injectivity) and the wire integer faithfully round-trips back to the ABI value (lossless decode). - intToResult decoder + resultRoundTrip (Refl per constructor) - resultToIntInjective derived from the round-trip (justInjective + cong) - same treatment for SupervisorStrategy (reuses Types.strategyRoundTrip) and ChildRestartType (new decoder + round-trip) - positive controls (concrete decodes = Refl) and negative/non-vacuity controls (distinct codes have distinct wire ints, machine-checked) Genuine total proofs: no believe_me/postulate/assert_total/etc. %default total; zero build warnings. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Assemble the existing per-layer proofs into one inhabited value `abiContractDischarged : ABISound`, tying manifest semantics -> ABI proofs (flagship one-for-one + rest-for-one idempotence) -> FFI seam injectivity into a single end-to-end soundness statement. Fields reuse only already-exported witnesses/theorems: - Layer 2 (Semantics): positiveTargetRunning, positiveSiblingUntouched - Layer 3 (Invariants): restForOneIdempotent - Layer 4 (FfiSeam): resultToIntInjective The value typechecks iff every prior layer is sound. An adversarial false certificate (bogus sibling witness) is rejected by the type checker, confirming non-vacuity. No believe_me/postulate/assert_total. 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 one-for-one restart), the deeper invariant (L3 rest-for-one idempotence), 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