Agent Skills: Semi-Formal Code Reasoning

Apply semi-formal certificate reasoning to code analysis — patch verification, fault localization, patch equivalence. Use when reviewing patches, hunting bugs across scopes, comparing fixes, or when code reasoning requires tracing execution across files/modules. Triggers on code review, bug localization, patch comparison, name shadowing, scope analysis, regression checking.

UncategorizedID: oaustegard/claude-skills/reasoning-semiformally

Install this agent skill to your local

pnpm dlx add-skill https://github.com/oaustegard/claude-skills/tree/HEAD/reasoning-semiformally

Skill Files

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reasoning-semiformally/SKILL.md

Skill Metadata

Name
reasoning-semiformally
Description
Apply semi-formal certificate reasoning to code analysis — patch verification, fault localization, patch equivalence. Use when reviewing patches, hunting bugs across scopes, comparing fixes, or when code reasoning requires tracing execution across files/modules. Triggers on code review, bug localization, patch comparison, name shadowing, scope analysis, regression checking.

Semi-Formal Code Reasoning

Structured certificate templates that force mandatory checkpoints before conclusions.

Skip Conditions

Do NOT apply semi-formal reasoning when:

  • The change is trivial: docs, formatting, version bumps, config changes
  • The bug is locally obvious: typo, off-by-one in the same function, missing comma
  • No execution paths cross scope boundaries
  • The task is not code analysis (text editing, data extraction, summarization)

If any skip condition is met, proceed with standard reasoning.

Model-Specific Instructions

If you are Haiku-class (Haiku 4.5 or similar): Read haiku.md in this skill directory. It contains full procedural templates with worked examples.

If you are Sonnet-class or above (Sonnet 4.6, Opus): Read sonnet.md in this skill directory. It contains compact verification checkpoints.

Composing Tasks

For complex tasks, apply templates sequentially:

  1. Fault localization to find the bug
  2. Patch verification to validate a proposed fix
  3. Patch equivalence to compare alternative fixes

Each output feeds the next as premises.