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proof-trace-summarizer

Summarize long Isabelle or Coq proof scripts into high-level logical steps and reasoning flow. Use when users need to: (1) Understand the structure of a complex proof, (2) Document proof strategies for others, (3) Extract the key reasoning steps from verbose proof scripts, (4) Create readable proof outlines from detailed tactical proofs. Produces hierarchical outlines with moderate detail showing proof structure, main cases, key lemmas, and reasoning flow for both Isabelle/Isar and Coq proofs.

69

Quality

83%

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SKILL.md
Quality
Evals
Security

Quality

Content

75%Weight 40%Scale 1-5

Reviews the quality of instructions and guidance provided to agents. Good implementation is clear, handles edge cases, and produces reliable results.

A thorough, actionable skill body with excellent worked examples and a clear five-step workflow supported by well-signaled reference files. Its main weakness is redundancy — the Common Proof Patterns and Tips sections repeat earlier content — which hurts conciseness.

Suggestions

Merge 'Common Proof Patterns' into the workflow steps or move it into references/summarization_patterns.md to remove the duplication with Step 1–4.

Consolidate 'Quality Guidelines' and 'Tips' into a single short checklist to cut repeated guidance.

Add a brief validation checkpoint (e.g., 'verify the outline still proves the stated theorem') to lift workflow clarity toward the top anchor.

DimensionReasoningScore

Conciseness

Mostly efficient and free of basic-concept padding, but the 'Common Proof Patterns' section largely restates the Step 1–4 templates and the 'Tips' section overlaps 'Quality Guidelines', so noticeable tightening is possible.

3 / 5

Actionability

Fully concrete worked examples (Isabelle induction, Coq case analysis, nested proof) shown as complete input→output pairs plus per-pattern templates with specific tactic indicators, covering the common cases copy-paste ready.

5 / 5

Workflow Clarity

Steps 1–5 are clearly sequenced (identify structure → extract components → group → outline → add detail), but there are no validation/checkpoint steps; acceptable since summarization is non-destructive, so it sits just below the validation-heavy top anchor.

4 / 5

Progressive Disclosure

Clear section structure with two real one-level-deep references (summarization_patterns.md, tactic_interpretation.md) that are well-signaled with load conditions; minor gap is that pattern/quality detail could migrate into those references to slim the body.

4 / 5

Total

16

/

20

Passed

Description

92%Weight 40%Scale 1-5

Based on the skill's description, can an agent find and select it at the right time? Clear, specific descriptions lead to better discovery.

A strong, specific description with a clear niche, concrete actions, and an explicit enumerated 'Use when' trigger list. The only gap is missing natural file-extension synonyms (.thy/.v) that would push trigger term quality to the top anchor.

Suggestions

Add Isabelle (.thy) and Coq (.v) file extensions and synonyms like 'tactic proofs' or 'proof obligations' to broaden natural trigger coverage.

Consider trimming the trailing 'Produces hierarchical outlines...' sentence, which partly restates the opening, to keep the description lean.

DimensionReasoningScore

Specificity

Lists multiple concrete actions within its niche — 'Summarize long Isabelle or Coq proof scripts into high-level logical steps and reasoning flow' and 'Produces hierarchical outlines with moderate detail showing proof structure, main cases, key lemmas, and reasoning flow' — giving comprehensive coverage of what it does.

5 / 5

Completeness

Explicitly answers both 'what' (summarizes proof scripts into hierarchical outlines) and 'when' via a concrete 'Use when users need to: (1)...(4)' trigger list, matching the clear-what-and-when-with-triggers anchor.

5 / 5

Trigger Term Quality

Good natural keyword coverage ('proof scripts', 'Isabelle', 'Coq', 'complex proof', 'proof strategies', 'proof outlines', 'tactical proofs') but missing file extensions (.thy, .v) and a few common synonyms, so it stops short of the comprehensive anchor.

4 / 5

Distinctiveness Conflict Risk

Occupies a clear, narrow niche (Isabelle/Coq proof-script summarization) with distinct triggers, making overlap with other skills minimal.

5 / 5

Total

19

/

20

Passed

Validation

100%

Checks the skill against the spec for correct structure and formatting. All validation checks must pass before discovery and implementation can be scored.

Validation — 16 / 16 Passed

Validation for skill structure

No warnings or errors.

Repository
ArabelaTso/Skills-4-SE
Reviewed

Table of Contents

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