Individual skill

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.

skills/program-correctness-prover/SKILL.md

Read pinned source

Source commit 4f38503747e0617504bce5329283ef837d375c09

What was checked

Matches the observed repository HEAD: Yes
Scanner rules are current: No
Repository scan complete: No
Skill scan complete: Yes
Observed behavior: Not checked yet
Last checked: Nov 6, 2026

These are observations at the recorded commit, not a guarantee of safety. Review the source before running it.

Install this skill

Choose an agent in your Stack or copy a command below. Commands fetch the pinned commit and copy only this skill directory. Existing destinations are refused. Copying a command does not install anything.

An install command is unavailable: current rules, complete repository and skill scans, an eligible behavior level and a permitted license are required.

Repository context

Repository stars (not skill ratings): 259
Repository last updated: Aug 21, 2026
License: Apache-2.0

Observed agent integration: No specific integration evidence. Standard SKILL.md installation does not imply verified compatibility.

claude-skills Repository topic
metaprogramming Repository topic
software-development Repository topic
software-engineering Repository topic
claude Repository topic
claude-code Repository topic
engineering Derived category

Files and excerpt

File metadata and permitted, redacted excerpts come from the recorded scan. Source links are pinned to that commit.

Browse files

SKILL.mdcore · 10,026 bytes
references/hoare_logic.mddoc · 7,257 bytes
references/verification_patterns.mddoc · 10,051 bytes

Read excerpt


# Program Correctness Prover

Generate formal proofs establishing correctness of imperative programs.

## Overview

This skill takes imperative program code with formal specifications (preconditions and postconditions) and generates complete correctness proofs in Isabelle or Coq using Hoare logic. It handles loop invariant generation, verification condition generation, and proof construction for both partial and total correctness.

## How to Use

Provide:
1. **Program code**: Imperative program (assignments, conditionals, loops)
2. **Specification**: Precondition and postcondition
3. **Target system**: Isabelle or Coq