genpark-loop-invariant-induction-prover-skill

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SUMMARY

GenPark AI Agent Skill - Loop invariant inductiveness and total correctness prover verifying initialization, preservation, and postcondition implication.

README.md

GenPark Loop Invariant Induction Prover Skill

Loop invariant inductiveness and total correctness prover verifying initialization, preservation, and termination.

Discover more at GenPark and the GenPark MCP Catalog.

graph TD
    P[Precondition P] -->|Step 1: Initialization| I[Loop Invariant I Holds]
    I --> G{Guard B True?}
    G -->|Yes| B[Loop Body Execution]
    B -->|Step 2: Preservation| I
    G -->|No| Q[Step 3: Invariant & ~B => Postcondition Q]
    style P fill:#e1f5fe
    style I fill:#fff9c4
    style G fill:#ffcdd2
    style B fill:#c8e6c9
    style Q fill:#d1c4e9

Features

  • Formal induction verification across loop state spaces.
  • Validation of initialization, inductive step, and postcondition guarantees.
  • Pure Python standard library.

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