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MCP Server Logical Solver

@RyanNg1403

基本信息

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其他

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stdio

作者

RyanNg1403

关于 MCP Server Logical Solver

A project that integrates mcp servers for Prover9/Mace4 for a logical reasoning agent

#mcp-server#logical-solver#theorem-proving

MCP Server Logical Solver 配置

使用下面的配置,将此服务器添加到你的 MCP 客户端。

{
  "mcpServers": {
    "mcp-server-logical-solver": {
      "command": "python",
      "args": [
        "test.py"
      ]
    }
  }
}

MCP Server Logical Solver 工具

工具列表暂未提供

当前收录暂时没有可展示的工具列表,不代表服务没有工具。请查阅项目文档了解支持的能力。

工具是从 README 中自动提取的。维护者可以在 ## Tools 标题下列出工具,即可填充这部分内容。

概览

What is MCP Server Logical Solver?

MCP Server Logical Solver is a logical reasoning system that combines Large Language Models (LLMs) with formal theorem proving through Prover9/Mace4. It processes logical problems in natural language and First‑Order Logic (FOL) to provide automated reasoning and structured explanations.

How to use MCP Server Logical Solver?

Clone the repository, install dependencies with pip install -r requirements.txt, configure a .env file with your model provider and API key, and set up mcp_config.json to point to the MCP‑Logic server. Run a single problem with python test.py or batch process via python main.py input.json output.json.

Key features of MCP Server Logical Solver

  • Two‑stage pipeline: LLM analysis plus Prover9 verification
  • Supports natural language and First‑Order Logic inputs
  • Automatic XOR operation transformation for Prover9 compatibility
  • Batch processing of multiple logical problems
  • JSON‑structured output with explanation and tool usage status
  • Multiple model providers: OpenAI, Anthropic, Gemini, Ollama

Use cases of MCP Server Logical Solver

  • Validating logical conclusions from natural language premises
  • Formal theorem proving with Prover9 and Mace4
  • Automated reasoning for research or educational tasks
  • Generating detailed, step‑by‑step logical explanations

常见问题

1

How does MCP Server Logical Solver handle “SEARCH FAILED” from Prover9?

When Prover9 cannot find a proof, the system uses LLM‑based analysis to distinguish between a “False” result (premises contradict the conclusion) and an “Uncertain” result (insufficient premises).

2

What FOL syntax is required for inputs?

Inputs must follow Prover9 syntax: use `all` for ∀, `exists` for ∃, `&` for ∧, `|` for ∨, `->` for →, `<->` for ↔, and `-` for ¬. XOR (⊕) is automatically transformed to an equivalent form.

3

What dependencies are needed to run MCP Server Logical Solver?

You must have the MCP‑Logic server installed and running, Python 3, the packages in `requirements.txt`, and an API key for the chosen LLM provider (unless using Ollama).

4

How does the output look?

The system returns a JSON object containing original premises/conclusions (natural language and FOL), the answer (`True`/`False`/`Uncertain`), a detailed explanation, and a `tool_use` boolean indicating whether tool calling succeeded.

5

Can I run MCP Server Logical Solver locally without cloud APIs?

Yes, by setting the model provider to `ollama` in the `.env` file and running a local model; no API key is required for Ollama.

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