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

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Project-declaredLean 4.31.0

Compile well typed on wf expr

compile_well_typed_on_wf_expr

Plain-language statement

Compiling a well-typed expression should produce a term of the corresponding TermType, assuming that the expression is well-formed in the symbolic environment.

authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

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Project-declaredLean 4.32.0

Decrypt uses At Most One Query

decrypt_usesAtMostOneQuery

Plain-language statement

T-transform decryption makes at most one hash-oracle query under unit-cost instrumentation.

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

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Project-declaredLean 4.32.0

Dlog Success sq le cdh Success dlog To CDHReduction

DiffieHellman.dlogSuccess_sq_le_cdhSuccess_dlogToCDHReduction

Plain-language statement

Concrete form of the hardness implication CDH ⇒ DLog: if a DLog adversary succeeds with probability p, the induced CDH adversary succeeds with probability at least p^2.

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

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Project-declaredLean 4.32.0

Prob Output ddh Exp Rand cdh To DDHReduction eq uniform Scalar

DiffieHellman.probOutput_ddhExpRand_cdhToDDHReduction_eq_uniformScalar

Plain-language statement

In the random DDH game, the CDH-to-DDH reduction only matches the target with the uniform baseline probability. The bijectivity assumption identifies scalar samples with uniformly sampled group elements in the subgroup generated by g.

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

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Project-declaredLean 4.32.0

Eager Random Oracle eval Dist generate Seed bind

eagerRandomOracle_evalDist_generateSeed_bind

Plain-language statement

The eager random oracle, averaged over a uniformly sampled seed, matches the fresh independent-query semantics of evalDist. This is because the pre-sampled seed values are i.i.d. uniform, exactly matching fresh oracle queries. This is the analog of seededOracle.evalDist_liftComp_generateSeed_bind_simulateQ_run' but for eagerRandomOracle (which falls...

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

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