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🤖 Gemini PR SummaryMathematical Formalization
Refactoring and API Improvements
Incomplete Proofs
Note on Discrepancy: The PR title "Proximity Generators Definitions" is narrower than the actual changes, which include significant formalizations of MDS codes, Reed-Solomon properties, and Johnson bound refinements. Statistics
Lean Declarations ✏️ **Removed:** 3 declaration(s)
✏️ **Added:** 27 declaration(s)
✏️ **Affected:** 5 declaration(s) (line number changed)
❌ **Added:** 3 `sorry`(s)
🎨 **Style Guide Adherence**This review identifies several violations of the ArkLib style guide, primarily concerning naming conventions (snake_case for theorems, lowerCamelCase for functions, and acronym treatment) and syntax formatting (spacing around operators). Since there are more than 20 violations, they are grouped by rule below: Naming Conventions: Theorems and ProofsRule: "Theorems and Proofs:
Naming Conventions: Functions and TermsRule: "Functions and Terms:
Naming Conventions: AcronymsRule: "Acronyms: Treat as words (e.g.,
Syntax and Formatting: SpacingRule: "Operators: Put spaces on both sides of
Citation and Documentation StandardsRule: "Format:
📄 **Per-File Summaries**
Last updated: 2026-04-07 14:35 UTC. |
Build Timing Report
Incremental Rebuild Signal
This compares a clean project build against an incremental rebuild in the same CI job; it is a lightweight variability signal, not a full cross-run benchmark. Slowest Current Clean-Build FilesShowing 20 slowest current targets, with comparison against the selected baseline when available.
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🤖 Initial AI review without external context🤖 AI ReviewOverall Summary: 1. TL;DRThe PR establishes solid foundations for linear codes and proximity gaps, but requires structural updates due to a mathematically inaccurate MDS theorem statement, multiple critical type mismatches in the proximity generator definitions, and an incomplete 2. Checklist CoverageNo explicit specification checklist was provided for this PR. The review instead focused on strict mathematical fidelity, type correctness, Lean 4 / Mathlib idioms, and proof completeness. 3. Critical Misformalizations
4. Key Lean 4 / Mathlib Issues
5. Overall VerdictChanges Requested 📄 **Review for `ArkLib.lean`**Verdict: Approved Critical Misformalizations: Lean 4 / Mathlib Issues: Nitpicks: 📄 **Review for `ArkLib/Data/CodingTheory/Basic.lean`**Verdict: Changes Requested Critical Misformalizations:
Lean 4 / Mathlib Issues:
Nitpicks:
📄 **Review for `ArkLib/Data/CodingTheory/ProximityGap/ProximityGenerators.lean`**Verdict: Changes Requested Critical Misformalizations:
Here is the corrected code for these definitions: def Condition {S : Type} [Nonempty S] [Fintype S] (G : Generator S ℓ F) (U : ℓ → ι → F)
(T : Finset ι) (γ : ℝ) (LC : LinearCode ι F) (x : S) : Prop :=
let v := Matrix.vecMul (G x) (Matrix.of U)
(T.card : ℝ) ≥ (Fintype.card ι : ℝ) * (1 - γ) ∧
Code.projectedWord v T ∈ Code.projectedCode (LC : Set (ι → F)) T ∧
∃ j : ℓ, Code.projectedWord (U j) T ∉ Code.projectedCode (LC : Set (ι → F)) T
def IsPolynomialGenerator {s : ℕ} {S : Fin s → Set F} (G : Generator (∀ i, S i) ℓ F) : Prop :=
∃ P : ℓ → MvPolynomial (Fin s) F, LinearIndependent F P ∧
∀ x : (∀ i, S i), G x = MvPolynomial.eval (fun i ↦ (x i : F)) ∘ PAnd for def IsMCAGenerator {S : Type} [Nonempty S] [Fintype S] (G : Generator S ℓ F)
(ε_mca : UnitInterval → UnitInterval) (U : ℓ → ι → F) (T : Finset ι) (LC : LinearCode ι F) : Prop :=
∀ γ : UnitInterval,
Pr_{let x ←$ᵖ S}[(Condition G U T (γ : ℝ) LC x) ] ≤ ENNReal.ofReal (ε_mca γ)(Alternatively, you can type Lean 4 / Mathlib Issues:
Nitpicks:
📄 **Review for `ArkLib/Data/CodingTheory/ReedSolomon.lean`**Verdict: Needs Minor Revisions Critical Misformalizations: Lean 4 / Mathlib Issues: Nitpicks:
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