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

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Project-declaredLean 4.8.0

Alice steps cost

alice_steps_cost

Plain-language statement

Alice makes few queries, regardless of Bob and Vera

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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Project-declaredLean 4.8.0

Bob debate cost

bob_debate_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

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 4.32.0

Sign Attempt expected Query Cost eq output Expectation

FiatShamirWithAbort.signAttempt_expectedQueryCost_eq_outputExpectation

Plain-language statement

The expected weighted query cost of one signing attempt is the expectation of the queried commitment cost over the attempt output distribution.

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

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Project-declaredLean 4.32.0

Sign Attempt run with Unit Cost eq

FiatShamirWithAbort.signAttempt_run_withUnitCost_eq

Plain-language statement

Unit-cost specialization of the run formula: each signing attempt run tags its output with a single unit of cost (cf. signAttempt_run_withAddCost_eq).

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

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Project-declaredLean 4.8.0

Post steps V

post_stepsV

Plain-language statement

Relate stepsV and steps

probabilitycomplexity theoryinteractive protocols

Source project: debate

Person-level attribution pending.

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