Source-pinned research

Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 136 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.33.0-rc1

Unique minimal

Cslib.Automata.DA.FinAcc.unique_minimal

Plain-language statement

The minimal DFA M accepting the language l is unique up to unique isomorphism.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Buchi Family cover

Cslib.Automata.NA.Buchi.buchiFamily_cover

Project documentation

na.buchiFamily is a cover if na has only finitely many states. This theorem uses the Ramsey theorem for infinite graphs and does not depend on any details of na.BuchiCongruence other than that it is of finite index.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Concat language eq

Cslib.Automata.NA.Buchi.concat_language_eq

Plain-language statement

The Buchi automaton formed from concat na1 na2 accepts the ω-language that is the concatenation of the language of na1 and the ω-language of na2.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Inter freq acc freq acc

Cslib.Automata.NA.Buchi.inter_freq_acc_freq_acc

Plain-language statement

If the intersection automaton sees one accepting condition infinitely many times, then it sees the other accepting condition infinitely many times as well.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Inter freq comp acc freq acc

Cslib.Automata.NA.Buchi.inter_freq_comp_acc_freq_acc

Plain-language statement

If the intersection automaton sees the accepting conditions of both component automata infinitely many times, then its own accepting condition also happens infinitely many times.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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