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

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Project-declaredLean 4.8.0

Alice pr le

alice_pr_le

Plain-language statement

Honest Alice has error ≥ e with probability ≤ q

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Alices close

alices_close

Plain-language statement

Alice produces (p,y) with p close to o.probs y with good probability

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Alices success

alices_success

Plain-language statement

Alice produces (p,y) with p close and y true with good probability, since if we condition on Alice being close she does as least as well as a close oracle.

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Bob complete

bob_complete

Plain-language statement

Honest Bob usually accepts if Alice is off by ≤ c

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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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

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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