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

Da concat ptr2 antitone

Automata.da_concat_ptr2_antitone

Plain-language statement

The value of DA.ConcatPtr2 is a non-increasing over time.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Da concat ptr2 exists

Automata.da_concat_ptr2_exists

Project documentation

The copy i of M2 being asserted to exist by this theorem is activated at step n and persists ever after. But i may not stay constant over time.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Da concat to muller accept

Automata.da_concat_to_muller_accept

Plain-language statement

Any infinite word consisting of a finite word accepted by M1 followed by an infinite word accepted by M2 under the Muller condition is accepted by M1.Concat acc1 M2 under the Muller condition

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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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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