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.
Source project: Automata Theory
Person-level attribution pending.
Source-pinned research
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 6 research declarations. Search 10,000 more complete Mathlib declarations.
6 results
Clear filtersAutomata.choueka_lang_decomp_lemma
Plain-language statement
The following lemmas are used to prove that the Choueka language is regular.
Source project: Automata Theory
Person-level attribution pending.
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.
Source project: Automata Theory
Person-level attribution pending.
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.
Source project: Automata Theory
Person-level attribution pending.
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.
Source project: Automata Theory
Person-level attribution pending.
Automata.greater_subseq_lemma
Project documentation
A technical lemma for use in the next theorem.
Source project: Automata Theory
Person-level attribution pending.
Automata.ramsey_lemma
Project documentation
This lemma derives a form of the Ramsey theorem suitable for use in the next theorem.
Source project: Automata Theory
Person-level attribution pending.