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

Acc lang congr

acc_lang_congr

Plain-language statement

The language accepted by c.toDA with a unique accepting state s is exactly the equivalence class of s.

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 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 lang inter

Automata.acc_lang_inter

Plain-language statement

The language accepted by the product NA is the intersection of the languages accepted by the component automata.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Acc lang loop

Automata.acc_lang_loop

Plain-language statement

The language accepted by the loop NA is the Kleene star of the language accepted by M.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Acc lang loop concat

Automata.acc_lang_loop_concat

Plain-language statement

The concatenation of the language accepted by the loop NA with itself is a subset of itself.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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