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MCP Logic is a self-contained server dedicated to first-order logic reasoning, built entirely in TypeScript with no external binaries. It provides robust capabilities for proving theorems using resolution, finding finite models that satisfy premises, and detecting counterexamples where conclusions do not follow. With advanced features like built-in support for categorical reasoning and a session-based system for incremental knowledge base construction, it offers a flexible platform for a wide range of logical challenges, all while ensuring syntax validation and token-efficient responses for integration into AI applications.