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Agent inspects Lean code for: 1. Structural health (theorem/def/eval/sorry counts) 2. Naming conventions (camelCase/PascalCase per AGENTS.md) 3. Q0_16/Q16_16 compliance 4. Proof quality (native_decide, .isSome guards, tautologies) 5. Dependency analysis (unused imports, circular deps) First inspection of Physics/ found 95 issues: 79 naming violations (systematic snake_case) 2 unused imports (Semantics.FixedPoint) 4 trivial/tautological proofs 3 #eval vs #eval! inconsistencies 1 duplicate theorem 6 def naming violations (SCALE, absDiff) Trigger with: /inspect <target>
68 lines
2.5 KiB
Markdown
68 lines
2.5 KiB
Markdown
# Lean Expert Agent — AGENTS.md
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## Purpose
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Inspect Lean 4 code for structural integrity, proof correctness, naming conventions, and dependency hygiene. Reports findings as DAG receipts.
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## Trigger
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`/inspect <target>` where target is a Lean file, directory, or module name.
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## Inspection Protocol
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For every file inspected, the agent MUST report:
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### 1. Structural Health
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- Count of `theorem` vs `def` vs `#eval` vs `#eval!`
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- Count of `sorry` axioms (⚠️ flag if > 0)
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- Count of `native_decide` proofs vs hand-written proofs
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- Count of empty theorem bodies (`:= by` with no following tactic)
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- Count of tautological theorems (`X = X`, `v ≤ v`)
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- Count of unused imports (import a module without using it)
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- Count of `set_option` linter suppressions
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### 2. Naming Conventions (per AGENTS.md §2)
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- File names: `PascalCase.lean` (⚠️ flag if snake_case or kebab-case)
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- Types: `PascalCase` (⚠️ flag if not)
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- Functions: `camelCase` (⚠️ flag if snake_case or PascalCase)
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- Theorems: `camelCase` (⚠️ flag if not)
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- Namespaces: `Semantics.<Domain>` (⚠️ flag if not)
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- Banned: `snake_case` in any file/type name
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- Banned: `getFoo`, `setFoo`, `checkFoo` prefixes
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- Banned: `_v2`, `_final` suffixes
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### 3. Q0_16 / Q16_16 Compliance (per AGENTS.md §1.4)
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- Are dimensionless scalars using `Q0_16` (16-bit, pure fraction)?
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- Are mixed quantities using `Q16_16` (32-bit, signed) ONLY when necessary?
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- Is `Float` used in hot-path code? (⚠️ flag if yes)
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- Are Q16_16 operations provably deterministic?
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### 4. Proof Quality
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- Does every `def` have a companion `theorem` or `#eval` witness?
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- Do `.get!` calls have companion `.isSome` theorems?
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- Are `native_decide` proofs used when the problem is decidable?
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- Are inductive proofs used when the problem is inductive?
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- Are there unused variables in theorem statements?
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### 5. Dependency Analysis
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- Does the file import modules it doesn't use?
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- Does the file use any `sorry` axiom from imported modules?
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- Are there circular dependencies between modules?
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## Output Format
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```lean
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/- DAG Receipt — Lean Expert Inspection
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File: <path>
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Date: <date>
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Pass: <true/false>
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Issues: <count>
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-/
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```
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Each issue MUST include `file:line` reference, severity (⚠️ ERROR, 🔶 WARNING, ℹ️ INFO), and a concise fix suggestion.
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## Agent Resources
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- `AGENTS.md` at repo root for naming conventions
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- `6-Documentation/docs/AGENTS.md` for strict operating rules
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- `0-Core-Formalism/lean/Semantics/Semantics/Physics/` for target inspection
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- `lake build` at `0-Core-Formalism/lean/Semantics/` for compilation verification
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