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

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Project-declaredLean 4.8.0

Bob sound

bob_sound

Plain-language statement

Honest Bob usually rejects if Alice is off by ≥ s

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Bob steps cost

bob_steps_cost

Plain-language statement

Bob makes few queries, regardless of Alice and Vera

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Bobs catches

bobs_catches

Plain-language statement

If Alice lies about probabilities by more than b, Bob usually catches Alice in a lie

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Bobs safe

bobs_safe

Plain-language statement

If Honest Bob rejects, Vera usually complains. The error probability is higher if Bob does complain, though, so we use an expectation over vera_score.

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Chernoff count abs le

chernoff_count_abs_le

Plain-language statement

Chernoff symmetric bound

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Chernoff count le

chernoff_count_le

Project documentation

Weak Chernoff's theorem for the Bernoulli case

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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