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

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Project-declaredLean 4.24.0-rc1

Da concat det run 2

Automata.da_concat_det_run_2

Plain-language statement

If any M2 copy in the second state component of M1.Concat acc1 M2 ever stabilizes (in the sense of never being deactivated from some point on), then it contains an infinite run of M2 starting from its activation.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Da concat det run cnt2

Automata.da_concat_det_run_cnt2

Plain-language statement

The second state component of M1.Concat acc1 M2 always has at least one inactive copy of M2 available.

automata theoryformal languagescomputer science

Source project: Automata Theory

Person-level attribution pending.

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Project-declaredLean 4.24.0-rc1

Da concat of muller accept

Automata.da_concat_of_muller_accept

Plain-language statement

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

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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