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 2,569 research declarations. Search 10,000 more complete Mathlib declarations.

All topics

2569 results

Project-declaredLean 4.31.0

Fold Relay Oracle Verifier rbr Knowledge Soundness

Binius.BinaryBasefold.CoreInteraction.foldRelayOracleVerifier_rbrKnowledgeSoundness

Plain-language statement

RBR Knowledge Soundness of the non-commitment round verifier via append composition of fold-round and transfer-round RBR KS.

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Relay Oracle Verifier rbr Knowledge Soundness

Binius.BinaryBasefold.CoreInteraction.relayOracleVerifier_rbrKnowledgeSoundness

Plain-language statement

RBR knowledge soundness for a single round oracle verifier

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Fiberwise dist lt imp dist lt unique decoding radius

Binius.BinaryBasefold.fiberwise_dist_lt_imp_dist_lt_unique_decoding_radius

Plain-language statement

if d⁽ⁱ⁾(f⁽ⁱ⁾, C⁽ⁱ⁾) < d_{ᵢ₊steps} / 2 (fiberwise distance), then d(f⁽ⁱ⁾, C⁽ⁱ⁾) < dᵢ/2 (regular code distance)

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Full Oracle Reduction perfect Completeness

Binius.BinaryBasefold.FullBinaryBasefold.fullOracleReduction_perfectCompleteness

Plain-language statement

Perfect completeness for the full Binary Basefold protocol (reduction)

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Full Oracle Verifier rbr Knowledge Soundness

Binius.BinaryBasefold.FullBinaryBasefold.fullOracleVerifier_rbrKnowledgeSoundness

Plain-language statement

Round-by-round knowledge soundness for the full Binary Basefold oracle verifier

cryptographyproof systemscoding theory

Source project: ArkLib

Person-level attribution pending.

View proof record