ABI Layer 2: prove the one-for-one restart invariant — flagship Idris2 proof#35
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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
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Summary
Raises otpiser's Idris2 ABI to Layer 2 with its first flagship semantic proof. otpiser's headline is generating OTP supervision trees; this proves the one-for-one restart invariant: restarting a failed child leaves the other children untouched and the child set unchanged.
Mirrors the estate flagship-proof pattern: supervisor/child model,
OtherIn/RestartedRunningpropositions, sound+complete decision,certifyRestartproven sound, positive + negative controls.Changes
src/interface/abi/Otpiser/ABI/Semantics.idr—Supervisor/Child,OtherIn,RestartedRunning, the restart-invariant theorems,certifyRestart/soundness, controls.otpiser-abi.ipkg.RSR Quality Checklist
Required
As Applicable
Testing
Verified with Idris2 0.7.0:
idris2 --build otpiser-abi.ipkg→ exit 0, zero warnings. Adversarial check: a deliberately-false proof was rejected.build/removed.🤖 Generated with Claude Code
https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Generated by Claude Code