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feat(binius): adapt rbrKnowledgeSoundness onto completeness-of-binius with new VCVio APIs#391

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feat(binius): adapt rbrKnowledgeSoundness onto completeness-of-binius with new VCVio APIs#391
Copilot wants to merge 9 commits intocompleteness-of-biniusfrom
copilot/adapt-rbrknowledge-soundness

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Copilot AI commented Mar 7, 2026

Ports the closed PR #296 (rbrKnowledgeSoundness) on top of PR #383 (completeness-of-binius), adapting to the new VCVio API surface and updated module layout.

New files

  • BinaryBasefold/Soundness.lean — RBR knowledge soundness foundational lemmas (Lemmas 4.20–4.25): preTensorCombine, proximity gap bounds, per-block bad-event analysis, QueryPhaseSoundnessStatements
  • RingSwitching/BBFSmallFieldIOPCS.lean — Full small-field IOPCS composition (Ring-Switching + BBF) with extractor construction via Extractor.Lens
  • ToMathlib/MvPolynomial/Equiv.leanPolynomial.toMvPolynomial_ne_zero_iff, toMvPolynomial_totalDegree_le

Modified files

  • BinaryBasefold/Basic.lean — Added badSumcheckEventProp, extractMLP_eq_some_iff_pair_UDRClose, extractMLP_some_of_isCompliant_at_zero; renamed InitialStatementMLPEvalStatement (L : Type) (ℓ : ℕ) to make type params explicit
  • RingSwitching/Prelude.leanMLPEvalStatement abbrev updated to parametric form: abbrev MLPEvalStatement (L : Type) (ℓ : ℕ) := BinaryBasefold.MLPEvalStatement L ℓ
  • Data/Probability/Instances.lean — Added Pr_or_le (union bound), prob_schwartz_zippel_univariate_deg, prob_poly_agreement_degree_two
  • AdditiveNTT/AdditiveNTT.lean — Added iteratedQuotientMap_congr_k
  • ArkLib.lean — New imports

Key API adaptations vs PR #296

PR #296 This PR
SelectableType SampleableType
SimulationInfrastructure.lean Simulation.lean
import BinaryField.Tower.Prelude import CodingTheory.ProximityGap.DG25
structure InitialStatement (implicit vars) structure MLPEvalStatement (L : Type) (ℓ : ℕ)

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alexanderlhicks and others added 5 commits March 6, 2026 23:52
Resolves issues with #294

Primarily authored by @FawadHa1der

Co-authored-by: fawad haider <153737+FawadHa1der@users.noreply.github.com>
Prove `linsolve_some` in `ArkLib/Data/CodingTheory/BerlekampWelch/Sorries.lean`
by splitting on existence in `linsolve` and extracting the chosen witness.

Keep `linsolve_none` unsolved on this branch so PR #378 stays scoped to issue #211.

Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Prove `linsolve_none` in `ArkLib/Data/CodingTheory/BerlekampWelch/Sorries.lean`
by splitting on existence in `linsolve` and deriving contradiction in the `some` branch.

Keep `linsolve_some` unsolved on this branch so PR #379 stays scoped to issue #214.

Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Copilot AI and others added 4 commits March 7, 2026 09:08
….lean, probability lemmas

Co-authored-by: chung-thai-nguyen <19767623+chung-thai-nguyen@users.noreply.github.com>
…mports, simplify proofs with sorry

Co-authored-by: chung-thai-nguyen <19767623+chung-thai-nguyen@users.noreply.github.com>
…, BBFSmallFieldIOPCS.lean

Co-authored-by: chung-thai-nguyen <19767623+chung-thai-nguyen@users.noreply.github.com>
Copilot AI changed the title [WIP] Create a new rbrKnowledgeSoundness PR for completeness Adapt rbrKnowledgeSoundness onto completeness-of-binius with updated VCVio APIs Mar 7, 2026
@chung-thai-nguyen chung-thai-nguyen changed the base branch from main to completeness-of-binius March 7, 2026 09:30
Copilot AI changed the title Adapt rbrKnowledgeSoundness onto completeness-of-binius with updated VCVio APIs feat(binius): adapt rbrKnowledgeSoundness onto completeness-of-binius with new VCVio APIs Mar 7, 2026
@chung-thai-nguyen chung-thai-nguyen deleted the copilot/adapt-rbrknowledge-soundness branch March 7, 2026 09:51
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4 participants