Source-pinned research

Research proof index

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Project-declaredLean 4.24.0-rc1

Da acc lang compl

Automata.da_acc_lang_compl

Plain-language statement

For a DA, complementing the language it accepts can be achieved by simply complementing the set of accepting states.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Da acc lang iff run acc

Automata.da_acc_lang_iff_run_acc

Plain-language statement

A finite word al is accepted by M if and only if M reaches an accepting state after running on al starting from the initial state.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Da acc omega lang

Automata.da_acc_omega_lang

Plain-language statement

The ω-language accepted by a deterministic Buchi automaton is the ω-limit of the language accepted by the same automaton.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Det muller accept boolean form

Automata.det_muller_accept_boolean_form

Plain-language statement

The ω-language accepted by a deterministic Muller automaton is a boolean combination of the ω-limits of accepted languages. Note that this result does not need to assume that the automaton 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

Det muller accept omega limit

Automata.det_muller_accept_omega_limit

Plain-language statement

The ω-limit of the language accepted by a deterministic automaton is accepted by a deterministic Muller automaton.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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