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program-correctness-prover

Generate Isabelle or Coq proofs establishing partial or total correctness of imperative programs from code and formal specifications. Use when users need to: (1) Prove program correctness using Hoare logic, (2) Generate verification conditions from pre/postconditions, (3) Construct loop invariants and termination arguments, (4) Verify imperative programs with assignments, conditionals, and loops. Supports both partial correctness (if terminates, postcondition holds) and total correctness (terminates and postcondition holds) for both Isabelle/HOL and Coq.

95

1.25x
Quality

92%

Does it follow best practices?

Impact

100%

1.25x

Average score across 3 eval scenarios

SecuritybySnyk

Passed

No known issues

SKILL.md
Quality
Evals
Security

Quality

Discovery

100%

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

This is an excellent skill description that clearly defines a specialized niche in formal program verification. It provides comprehensive coverage of capabilities, explicit trigger conditions with numbered use cases, and domain-specific terminology that makes it highly distinguishable from other skills. The description uses proper third-person voice throughout.

DimensionReasoningScore

Specificity

Lists multiple specific concrete actions: 'Generate Isabelle or Coq proofs', 'Prove program correctness using Hoare logic', 'Generate verification conditions', 'Construct loop invariants and termination arguments', 'Verify imperative programs with assignments, conditionals, and loops'.

3 / 3

Completeness

Clearly answers both what (generate proofs, verification conditions, loop invariants) AND when with explicit 'Use when users need to:' clause followed by numbered trigger scenarios.

3 / 3

Trigger Term Quality

Excellent coverage of natural terms users would say: 'Isabelle', 'Coq', 'proofs', 'Hoare logic', 'verification conditions', 'pre/postconditions', 'loop invariants', 'termination', 'partial correctness', 'total correctness', 'imperative programs'.

3 / 3

Distinctiveness Conflict Risk

Highly distinctive niche targeting formal verification with Hoare logic in specific proof assistants (Isabelle/Coq). Very unlikely to conflict with general coding or documentation skills due to specialized terminology.

3 / 3

Total

12

/

12

Passed

Implementation

85%

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

This is a strong skill with excellent actionability and workflow clarity. The complete Isabelle and Coq proof examples are particularly valuable, and the verification workflow is well-sequenced with clear validation steps. The main weakness is some verbosity in the overview and explanation sections that could be trimmed to improve token efficiency.

Suggestions

Remove or condense the Overview section - the 'How to Use' section already covers this information more actionably

Consider moving the detailed proof examples to a reference file and keeping only one abbreviated example in the main skill to improve conciseness

DimensionReasoningScore

Conciseness

The skill is reasonably efficient but includes some unnecessary explanation (e.g., the Overview section restates what the skill does, and some concepts like Hoare logic rules are explained that Claude likely knows). The examples are thorough but could be more condensed.

2 / 3

Actionability

Provides fully executable Isabelle and Coq code examples that are copy-paste ready. The verification workflow has concrete steps, and the examples show complete proofs with specific syntax for both proof assistants.

3 / 3

Workflow Clarity

Clear 5-step verification workflow with explicit validation checkpoints (verify each VC, test invariant properties). The workflow includes feedback loops for checking invariant properties and the examples demonstrate the complete process from analysis to proof.

3 / 3

Progressive Disclosure

Well-structured with clear overview, detailed examples inline, and references to external files (hoare_logic.md, verification_patterns.md) for deeper content. The 'Load these references when' section clearly signals when to access additional materials.

3 / 3

Total

11

/

12

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.

Validation11 / 11 Passed

Validation for skill structure

No warnings or errors.

Repository
ArabelaTso/Skills-4-SE
Reviewed

Table of Contents

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