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 63 research declarations. Search 10,000 more complete Mathlib declarations.

1 topic

63 results

Clear filters
Project-declaredLean 4.24.0-rc1

Pair acc lang regular

Automata.pair_acc_lang_regular

Plain-language statement

If M is finite-state, then M.PairAccLang acc s s' is regular for any pair of states s and s'. Note that we need to use the history NA construction to prove this result, because the NA needs to remember whether an accepting state has been visited.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record
Project-declaredLean 4.24.0-rc1

Pair lang regular

Automata.pair_lang_regular

Plain-language statement

If M is finite-state, then M.PairLang s s' is regular for any pair of states s and s'.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record
Project-declaredLean 4.24.0-rc1

Ramsey lemma

Automata.ramsey_lemma

Project documentation

This lemma derives a form of the Ramsey theorem suitable for use in the next theorem.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record
Project-declaredLean 4.24.0-rc1

Det muller lang concat

det_muller_lang_concat

Plain-language statement

The concatenation of a regular language and a deterministic Muller language is a deterministic Muller language.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record
Project-declaredLean 4.24.0-rc1

Det muller lang inter

det_muller_lang_inter

Plain-language statement

Deterministic Muller languages are closed under intersection.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

View proof record