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.

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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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Project-declaredLean 4.24.0-rc1

Omega reg lang iff finite union form

omega_reg_lang_iff_finite_union_form

Plain-language statement

An ω-language is ω-regular if and only if it is the finite union of sets of the form U * V^ω, where all Us and Vs are regular languages.

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 inter

omega_reg_lang_inter

Plain-language statement

ω-regular languages are closed under intersection.

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 union

omega_reg_lang_union

Plain-language statement

ω-regular languages are closed under union.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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