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

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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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Project-declaredLean 4.24.0-rc1

Acc omega lang loop

Automata.acc_omega_lang_loop

Plain-language statement

The ω-language accepted by the loop NA is the ω-power 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

Na loop fin run

Automata.na_loop_fin_run

Plain-language statement

A finite run of the loop NA that contains the inl () marker only at the beginning and at the end is an accepting run of M.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Na loop fin run exists

Automata.na_loop_fin_run_exists

Plain-language statement

Conversely, for any finite accepting run of M, there is a finite run of the loop NA that contains the inl () marker only at the beginning and at the end.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Loop language eq

Cslib.Automata.NA.FinAcc.loop_language_eq

Plain-language statement

finLoop na accepts the Kleene star of the language of na, assuming that the latter is nonempty.

computer sciencecomputabilityprogram semantics

Source project: Lean Computer Science Library

Person-level attribution pending.

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