Coq Induction Proof Engineering

关于

Provides specialized domain knowledge for formal verification using the Coq proof assistant, specifically focusing on induction proofs for arithmetic. It assists in navigating the complex workflow of proving properties by identifying necessary library lemmas, structuring base and inductive cases, and applying correct tactics. Whether filling in incomplete proof scripts or debugging compilation errors, this skill ensures rigorous adherence to formal methods and best practices in mathematical proving.

主要功能

• Application of standard library lemmas like plus_n_O and plus_n_Sm
• Identification of common pitfalls like incorrect rewriting direction
• Tactical guidance for rewrite, simpl, and reflexivity operations
• 16 GitHub stars
• Guided induction proof structuring for natural numbers
• Verification strategies through compilation and library searches

使用场景

• Completing incomplete Coq proofs involving arithmetic induction
• Proving mathematical properties like addition commutativity and associativity
• Debugging failed Coq scripts and resolving compilation errors