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feat: prove that omega-regular languages are closed under complementation#329

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ctchou wants to merge 52 commits intoleanprover:mainfrom
ctchou:buchi-compl
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feat: prove that omega-regular languages are closed under complementation#329
ctchou wants to merge 52 commits intoleanprover:mainfrom
ctchou:buchi-compl

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@ctchou ctchou commented Feb 10, 2026

This PR reaches a major milestone by proving that omega-regular languages are closed under complementation, using W. Thomas's presentation of R. Büchi's original proof. Most of the groundwork has been laid in previous PRs and the only nontrivial theorem proved in this PR is buchiFamily_cover in BuchiCongruence.lean, which uses the Ramsey theorem for infinite graphs.

This PR depends on #281 and #325, the latter of which in turn depends on #278.

fmontesi and others added 30 commits January 11, 2026 13:15
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3 participants