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

1 topic

573 results

Clear filters
Project-declaredLean 4.31.0

Tensor G1 coord diff

ArkLib.Lattices.Hachi.tensorG1_coord_diff

Project documentation

Coordinate isolation at k = 1 (Hachi Lemma 8, case (C), the c4 subtract-and-divide crux): if c ≡ⱼ c', then tensorG1 (c − c') ŵ = (cⱼ − c'ⱼ) · wⱼ where w := G_blocks *ᵥ ŵ is the recomposed carrier.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.32.0

IND CPA advantage to Real le sum step signed Advantage Real abs

AsymmEncAlg.IND_CPA_advantage_toReal_le_sum_step_signedAdvantageReal_abs

Plain-language statement

Planned generic one-time-to-many-time lift: bounded multi-query IND-CPA advantage is at most the sum of the extracted one-time signed advantages over the first q fresh LR queries.

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

View proof record
Project-declaredLean 4.32.0

IND CPA run' eval Dist eq query Impl' of bounded eq

AsymmEncAlg.IND_CPA_run'_evalDist_eq_queryImpl'_of_bounded_eq

Plain-language statement

If a counted IND-CPA hybrid implementation agrees with the counted real implementation through the first q fresh LR queries, then any adversary making at most q LR queries sees the same output distribution as in the real IND-CPA game.

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

View proof record
Project-declaredLean 4.32.0

IND CPA step Adversary signed Advantage Real eq hybrid Diff half

AsymmEncAlg.IND_CPA_stepAdversary_signedAdvantageReal_eq_hybridDiff_half

Plain-language statement

Planned adjacent-gap characterization for the extracted step adversary. Once IND_CPA_stepAdversary_game_eq_hybridBranch is proved, this is just the one-time analogue of IND_CPA_signedAdvantageReal_eq_lrDiff_half.

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Canonical Rep Of𝒪 mk

BCIKS20AppendixA.canonicalRepOf𝒪_mk

Plain-language statement

Canonical representatives of quotient constructors are computed by modByMonic.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record