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.

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Project-declaredLean 4.24.0-rc1

Det muller lang union

det_muller_lang_union

Plain-language statement

Deterministic Muller languages are closed under union.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Frequently in finite set

frequently_in_finite_set

Plain-language statement

Note that only the → direction needs the finiteness assumption.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Inf occ eventually

inf_occ_eventually

Plain-language statement

Over a finite type, xs k is in InfOcc xs for all sufficiently large k.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Inf occ pair

inf_occ_pair

Plain-language statement

Same as inf_acc_proj, but for pair types. This result does follow from inf_occ_proj, but that proof (see below) turns out to be longer.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Inf occ proj

inf_occ_proj

Plain-language statement

Note that only the ⊇ direction needs the finiteness assumptions.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Omega reg lang fin idx congr

omega_reg_lang_fin_idx_congr

Plain-language statement

If a congruence is of finite index, is ample, and saturates an ω-language L, then L is ω-regular.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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