Overview of MCP-RoCQ: Coq Reasoning Server

The MCP-RoCQ, or Coq Reasoning Server, is a groundbreaking tool designed to elevate logical reasoning capabilities by integrating seamlessly with the Coq proof assistant. This integration facilitates automated dependent type checking, inductive type definitions, and property proving, utilizing both custom tactics and automation. The server is a part of UBOS’s commitment to bringing AI Agent capabilities to every business department, allowing enterprises to harness the power of AI in a structured and efficient manner.

Use Cases

1. Academic Research: Universities and research institutions can leverage MCP-RoCQ for formal verification of mathematical proofs and algorithms, ensuring accuracy and reliability in research outputs.

2. Software Development: Developers can use MCP-RoCQ to verify code correctness, especially in safety-critical systems where failure is not an option. This is crucial in fields like aerospace, automotive, and healthcare.

3. Enterprise Solutions: Businesses can integrate MCP-RoCQ into their AI systems to enhance decision-making processes by ensuring logical consistency and correctness in AI-driven insights.

4. Educational Tools: Educators can use MCP-RoCQ to teach students about formal logic, type theory, and proof development, providing a hands-on learning experience.

Key Features

• Automated Dependent Type Checking: MCP-RoCQ verifies terms against complex dependent types, ensuring that all logical constructs are sound and valid. This is particularly useful in environments where precision is paramount.

• Inductive Type Definition: Users can define and automatically verify custom inductive data types, allowing for the creation of complex data structures that are verified for correctness from the outset.

• Property Proving: The server enables the proving of logical properties using custom tactics and automation, streamlining the process of establishing and verifying logical assertions.

• XML Protocol Integration: MCP-RoCQ offers reliable structured communication with Coq through XML protocol integration, ensuring that data exchange is both efficient and error-free.

• Rich Error Handling: The server provides detailed feedback for type errors and failed proofs, allowing users to quickly identify and rectify issues, thus enhancing the overall development workflow.

Installation Process

To get started with MCP-RoCQ, follow these steps:

1. Install the Coq Platform 8.19 (2024.10): Coq is a formal proof management system that provides a language for writing mathematical definitions and theorems, along with an environment for developing machine-checked proofs.

2. Clone the Repository: Use the following command to clone the MCP-RoCQ repository:

   git clone https://github.com/angrysky56/mcp-rocq.git
   

3. Set Up the Environment: Navigate to the repository and set up the virtual environment:

   uv venv
   ./venv/Scripts/activate
   uv pip install -e .
   

4. Configure JSON for Claude App or MCPHost: Adjust your paths according to your Coq installation and repository setup.

5. Install Dependencies: Ensure all necessary dependencies are installed with:

   pip install -r requirements.txt
   

Usage

MCP-RoCQ provides three main capabilities:

• Type Checking: Verify terms against expected types within a given context.

• Inductive Types: Define and verify inductive data types, ensuring logical consistency.

• Property Proving: Prove logical properties using a combination of tactics and automation.

UBOS Platform

UBOS is a full-stack AI Agent Development Platform focused on integrating AI Agents into every business department. It orchestrates AI Agents, connects them with enterprise data, and allows for the building of custom AI Agents using LLM models and Multi-Agent Systems. The MCP-RoCQ server is a testament to UBOS’s dedication to providing advanced tools that enhance logical reasoning and decision-making processes across various applications.