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 10 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.24.0-rc1

Acc lang concat e

Automata.acc_lang_concat_e

Plain-language statement

The language of the concatenation NA that is accepted by M0's accepting states is the language accepted by M0.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Acc lang concat ne

Automata.acc_lang_concat_ne

Plain-language statement

The language of the concatenation NA that is accepted by M1's accepting states is the language accepted by M0 concatenated with the language accepted by M1 minus the empty word.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Acc omega lang concat

Automata.acc_omega_lang_concat

Plain-language statement

The ω-language of the concatenation NA that is accepted by M1's accepting states is the language accepted by M0 concatenated with the ω-language accepted by M1.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Na concat fin run 0

Automata.na_concat_fin_run_0

Plain-language statement

A finite run of the concatenation NA that ends in a state of M0 is completely a run of M0.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Na concat fin run 1

Automata.na_concat_fin_run_1

Plain-language statement

A finite run of the concatenation NA that ends in a state of M1 consists of a run of M0 followed by a run of M1.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Na concat inf run

Automata.na_concat_inf_run

Plain-language statement

An infinite run of the concatenation NA that contains a state of M1 consists of a finite run of M0 followed by an infinite run of M1.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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