ABI Layer 3: multiplicity subsumption — one entails lone#44
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Flagship semantic proof: an Alloy binary relation satisfies the `one` field multiplicity iff every live source maps to exactly one target (target-count = 1) — the OpenAPI "required, single-valued" property. Sound+complete Dec, certifier into the ABI Result codes proven sound, positive control + negative control (a one-source/two-target instance, the Alloy counterexample, is provably rejected). Verified with idris2 0.7.0 (build clean, zero warnings) + adversarial false-proof rejection. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Adds Alloyiser.ABI.Invariants over the existing Semantics model: proves the multiplicity-subsumption theorem oneImpliesLone (OneTargetFor s r -> LoneTargetFor s r) plus its field-level lift, a sound+complete Dec for LoneTargetFor, a sound ABI-Result certifier, and certifyOneEntailsLone tying the two verdicts. Controls: zero-target source is lone (positive), two-target source is not lone (negative), and lone does NOT entail one (strictness / non-vacuity). Distinct from and deeper than the Layer-2 `one` theorem. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
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Summary
Layer 3 (second, deeper invariant): adds the
lonemultiplicity (at most one target) and proves the subsumptiononeImpliesLone : OneTargetFor s r -> LoneTargetFor s r— a real implication between Alloy multiplicity constraints. Distinct from and deeper than the Layer-2one-multiplicity checker.New module
Alloyiser.ABI.Invariants(imports the Layer-2Semanticsmodel). Positive + non-vacuity controls.Testing
Idris2 0.7.0
--build→ exit 0, zero warnings. Adversarial rejection confirmed.build/removed. Nobelieve_me/postulate/sorry.🤖 Generated with Claude Code
https://claude.ai/code/session_01A6PSzJWpRxtzGDjUCEh7Mx
Generated by Claude Code