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loop-invariant-generator

Testing & Quality
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Automatically generate and verify loop invariants for algorithm correctness proofs

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Source SKILL.md: https://github.com/a5c-ai/babysitter/blob/HEAD/library/specializations/domains/science/computer-science/skills/loop-invariant-generator/SKILL.md

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Loop Invariant Generator

Purpose

Provides expert guidance on generating and verifying loop invariants for algorithm correctness proofs using formal methods.

Capabilities

  • Infer candidate loop invariants from code structure
  • Verify initialization, maintenance, and termination conditions
  • Generate formal proof templates
  • Handle nested loops and complex data structures
  • Export to theorem provers (Dafny, Why3)
  • Suggest invariant strengthening

Usage Guidelines

  1. Code Analysis: Analyze loop structure and identify key properties
  2. Candidate Generation: Generate candidate invariants from code patterns
  3. Verification: Check initialization, maintenance, termination
  4. Strengthening: Refine invariants to prove desired properties
  5. Export: Generate proof obligations for theorem provers

Tools/Libraries

  • Dafny
  • Why3
  • SMT solvers (Z3, CVC5)
  • Static analysis frameworks