Source-pinned research

Research proof index

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Project-declaredLean 4.24.0-rc1

Choueka lang decomp lemma

Automata.choueka_lang_decomp_lemma

Plain-language statement

The following lemmas are used to prove that the Choueka language is regular.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Choueka lang omega limit subset omega power

Automata.choueka_lang_omega_limit_subset_omega_power

Project documentation

The ω-limit of the Choueka language of M is a subset of the ω-power of the language of M. Note that this theorem does not need to assume that M is finite-state.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Choueka lang omega power eq omega limit

Automata.choueka_lang_omega_power_eq_omega_limit

Project documentation

If the language accepted by M is of the form V∗, then V^ω = V∗ * (M.ChouekaLang acc)↗ω. Note that this theorem does need to assume that M is finite-state.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Choueka lang omega power subset omega limit

Automata.choueka_lang_omega_power_subset_omega_limit

Project documentation

If the language accepted by M is of the form V∗, then V^ω ⊆ V∗ * (M.ChouekaLang acc)↗ω. Note that this theorem does need to assume that M is finite-state.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Greater subseq lemma

Automata.greater_subseq_lemma

Project documentation

A technical lemma for use in the next theorem.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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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.

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