logic (prover9/mace4).com
logic (prover9/mace4).com logo

Logic (Prover9/Mace4)

Integrates Prover9/Mace4 for automated reasoning, theorem proving, and logical analysis.

Created byApr 22, 2025

MCP-Logic

An MCP server providing automated reasoning capabilities using Prover9/Mace4 for AI systems. This server enables logical theorem proving and logical model verification through a clean MCP interface.

Design Philosophy

MCP-Logic bridges the gap between AI systems and formal logic by providing a robust interface to Prover9/Mace4. What makes it special:
  • AI-First Design: Built specifically for AI systems to perform automated reasoning
  • Knowledge Validation: Enables formal verification of knowledge representations and logical implications
  • Clean Integration: Seamless integration with the Model Context Protocol (MCP) ecosystem
  • Deep Reasoning: Support for complex logical proofs with nested quantifiers and multiple premises
  • Real-World Applications: Particularly useful for validating AI knowledge models and reasoning chains

Features

  • Seamless integration with Prover9 for automated theorem proving
  • Support for complex logical formulas and proofs
  • Built-in syntax validation
  • Clean MCP server interface
  • Extensive error handling and logging
  • Support for knowledge representation and reasoning about AI systems

Quick Example

image
image

Installation

Prerequisites

  • Python 3.10+
  • UV package manager
  • Git for cloning the repository
  • CMake and build tools (for building LADR/Prover9)

Setup

Clone this repository
Run the setup script: Windows run:
Linux/macOS:
The setup script:
  • Checks for dependencies (git, cmake, build tools)
  • Downloads LADR (Prover9/Mace4) from the external repository: laitep/LADR
  • Builds the LADR library to create Prover9 binaries in the ladr/bin directory
  • Creates a Python virtual environment
  • Sets up configuration files for running with or without Docker
IMPORTANT: The LADR directory is not included in the repository itself and will be installed through the setup script or manually.

Using Docker- no idea if this is working right, mainly designed for direct use with Claude Desktop

If you prefer to run with Docker this script:
  • Finds an available port
  • Activates the virtual environment
  • Runs the server with the correct paths to the installed Prover9
These scripts will build and run a Docker container with the necessary environment.

Claude Desktop Integration

To use MCP-Logic with Claude Desktop, use this configuration:
Replace "/path/to/mcp-logic" with your actual repository path.

Available Tools

image

prove

Run logical proofs using Prover9:

check-well-formed

Validate logical statement syntax:

Documentation

See the Documents folder for detailed analysis and examples:
  • Knowledge to Application: A formal logical analysis of understanding and practical application in AI systems

Project Structure

Note: After running setup-script.sh, a "ladr" directory will be created containing the Prover9 binaries, but this directory is not included in the repository itself.

Development

Run tests:

License

MIT

MCP-Logic

An MCP server providing automated reasoning capabilities using Prover9/Mace4 for AI systems. This server enables logical theorem proving and logical model verification through a clean MCP interface.

Design Philosophy

MCP-Logic bridges the gap between AI systems and formal logic by providing a robust interface to Prover9/Mace4. What makes it special:
  • AI-First Design: Built specifically for AI systems to perform automated reasoning
  • Knowledge Validation: Enables formal verification of knowledge representations and logical implications
  • Clean Integration: Seamless integration with the Model Context Protocol (MCP) ecosystem
  • Deep Reasoning: Support for complex logical proofs with nested quantifiers and multiple premises
  • Real-World Applications: Particularly useful for validating AI knowledge models and reasoning chains

Features

  • Seamless integration with Prover9 for automated theorem proving
  • Support for complex logical formulas and proofs
  • Built-in syntax validation
  • Clean MCP server interface
  • Extensive error handling and logging
  • Support for knowledge representation and reasoning about AI systems

Quick Example

image
image

Installation

Prerequisites

  • Python 3.10+
  • UV package manager
  • Git for cloning the repository
  • CMake and build tools (for building LADR/Prover9)

Setup

Clone this repository
Run the setup script: Windows run:
Linux/macOS:
The setup script:
  • Checks for dependencies (git, cmake, build tools)
  • Downloads LADR (Prover9/Mace4) from the external repository: laitep/LADR
  • Builds the LADR library to create Prover9 binaries in the ladr/bin directory
  • Creates a Python virtual environment
  • Sets up configuration files for running with or without Docker
IMPORTANT: The LADR directory is not included in the repository itself and will be installed through the setup script or manually.

Using Docker- no idea if this is working right, mainly designed for direct use with Claude Desktop

If you prefer to run with Docker this script:
  • Finds an available port
  • Activates the virtual environment
  • Runs the server with the correct paths to the installed Prover9
These scripts will build and run a Docker container with the necessary environment.

Claude Desktop Integration

To use MCP-Logic with Claude Desktop, use this configuration:
Replace "/path/to/mcp-logic" with your actual repository path.

Available Tools

image

prove

Run logical proofs using Prover9:

check-well-formed

Validate logical statement syntax:

Documentation

See the Documents folder for detailed analysis and examples:
  • Knowledge to Application: A formal logical analysis of understanding and practical application in AI systems

Project Structure

Note: After running setup-script.sh, a "ladr" directory will be created containing the Prover9 binaries, but this directory is not included in the repository itself.

Development

Run tests:

License

MIT