ABI Layer 3: downward-closure of ISU well-formedness under element deletion#42
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Flagship semantic proof: a figure-skating program is WellFormed iff its element count is within the ISU short-program limit (<= 7). Decidable proposition (propositional LTE), sound+complete Dec, certifier soundness, positive control + negative control (an 8-element program 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
…-content rule Add Anvomidaviser.ABI.Invariants over the existing Layer-2 Program model: - removeAt + removeAtLen: deleting one element drops length by exactly one. - wellFormedDownClosed: WellFormed is downward-closed under deletion at any Fin position (monotonicity), transported via lteSuccLeft. Distinct from and deeper than the Layer-2 count-limit theorem. - wellFormedTail: tail corollary. - HasContent + decHasContent: second ISU rule (minimum-content lower bound) as a sound+complete Dec with Uninhabited refutation. - certifyContent + certifyContentSound: certifier into the ABI Result. - Positive controls (trimmedWellFormed, goodHasContent) and negative/ non-vacuity controls (emptyRejected, emptyNoContent, trimFullLenIs6). Builds clean (0 warnings); a deliberately-false length claim is rejected. Registered last in anvomidaviser-abi.ipkg modules list. 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): proves downward-closure (monotonicity) of
WellFormed— deleting a single element at anyFinposition keeps a program within the ISU element limit. Distinct from and deeper than the Layer-2 element-count checker.New module
Anvomidaviser.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