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

Count not

count_not

Plain-language statement

count of the negative of f

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Debate eq transposed

debate_eq_transposed

Plain-language statement

The transposed formulation of debate is the same

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Evil alices lies

evil_alices_lies

Plain-language statement

Evil Alice produces a close true trace with low probability, since by remaining close she looks like a close oracle.

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Evil bobs lies

evil_bobs_lies

Plain-language statement

If Alice is good, the probability of false is low

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Evil bobs lies

evil_bobs_lies'

Plain-language statement

If Alice is correct and Bob rejects, the probability of false is low

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Exp count

exp_count

Plain-language statement

Moment generating function for count

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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