loop-invariant-generator
Automatically generate and verify loop invariants for algorithm correctness proofs
What this skill does
# 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
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