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ABC conjectureabstractabstract lang completenessactionadditive combinatoricsadele ringadic valuationaffine groupaffine spacesahiv22ahiv22supportalgebraic geometryalgorithmallow denyallows termalmost orthogonalityalmost periodicityanalysisanalytic number theoryanalytic setangular momentumangular velocityantichain operatorantichain tile countappendapprox hom pfrapproximationarcaritharithmetic geometryarithmetic progressionsas tensorasymptoticsasync runtimeauthorizationauthorizeauthorizerautomata theoryautomorphismauxiliaryball extensionball scalingbase changebase permbasicbasicsbasisbasis linearbatched evaluatorbehavioural theoryberlekamp welchbig opbijectivitybilinear formbindingbirthdaybisimulationbivariateblock rel distancebmobn254borel caratheodorybounding mutualbraketbridgebrownian motionbrun titchmarshbuchi congrbuchi congruencebuchi interbundledbundled semanticscaching logging oraclecaching oraclecadlagcadlag modificationcalculationscampanatocan reach 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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

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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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