This MCP-Logic server, developed by an AI researcher, provides automated reasoning capabilities using Prover9/Mace4 for AI systems. Built with Python 3.12+ and leveraging the MCP library, it offers tools for theorem proving, model verification, and syntax validation of logical statements. The implementation focuses on bridging formal logic with AI, enabling knowledge validation and complex reasoning. It's particularly useful for AI assistants or applications needing to perform logical proofs, verify knowledge representations, or analyze logical implications. The server supports nested quantifiers and multiple premises, making it suitable for tasks like validating AI knowledge models, reasoning about system behaviors, or formal verification of logical arguments.
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Prove statements using Prover9.
Validate formula syntax with detailed errors.
Find finite models satisfying premises.
Find counterexamples showing statements don't follow.
Generate FOL for categorical diagram commutativity.
Get axioms for category/functor/group/monoid.
Check truth-functional contingency via HCC prover.
Find the VFE-minimizing explanation for an observation.