Fix level_leq incompleteness and redesign AiurTestCase API#344
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Fix level_leq incompleteness and redesign AiurTestCase API#344arthurpaulino wants to merge 1 commit intomainfrom
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Level comparison: - Fix Succ ≤ Max incompleteness when an IMax child covers some assignments while a non-IMax child covers the rest. When both Max branches fail, case-split on a param from b to resolve IMax nodes. - Add unit test for the counterexample (u+1 = max(1, imax(u+1, u))). - Add full soundness and completeness argument for level_leq in KERNEL.md covering all 12 cases, with supporting lemmas for monotonicity, zero witness, and case-split soundness. AiurTestCase API: - Add defaults to all structure fields (label auto-derives from functionName, arrays default to #[], IO buffers default to default). - Rewrite noIO as a proper function, add exec shorthand for execution-only tests. - Replace raw anonymous constructors with named field syntax across Hashes.lean, IxVM.lean, Aiur.lean, and Main.lean.
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Level comparison:
AiurTestCase API: