MCP Reasoner

A systematic reasoning MCP server implementation for Claude Desktop featuring both Beam Search and Monte Carlo Tree Search (MCTS) capabilities.

Features

• Dual search strategies:
  • Beam search with configurable width
  • MCTS for complex decision spaces
• Thought scoring and evaluation
• Tree-based reasoning paths
• Statistical analysis of reasoning process
• MCP protocol compliance

Installation

Configuration

Add to Claude Desktop config:

Search Strategies

Beam Search

• Maintains fixed-width set of most promising paths
• Optimal for step-by-step reasoning
• Best for: Mathematical problems, logical puzzles

Monte Carlo Tree Search

• Simulation-based exploration of decision space
• Balances exploration and exploitation
• Best for: Complex problems with uncertain outcomes

Note: Monte Carlo Tree Search allowed Claude to perform really well on the Arc AGI benchmark (scored 6/10 on the public test), whereas beam search yielded a (3/10) on the same puzzles. For super complex tasks, you'd want to direct Claude to utilize the MCTS strategy over the beam search.

Algorithm Details

1. Search Strategy Selection
   • Beam Search: Evaluates and ranks multiple solution paths
   • MCTS: Uses UCT for node selection and random rollouts
2. Thought Scoring Based On:
   • Detail level
   • Mathematical expressions
   • Logical connectors
   • Parent-child relationship strength
3. Process Management
   • Tree-based state tracking
   • Statistical analysis of reasoning
   • Progress monitoring

Use Cases

• Mathematical problems
• Logical puzzles
• Step-by-step analysis
• Complex problem decomposition
• Decision tree exploration
• Strategy optimization

Future Implementations

• Implement New Algorithms
  • Iterative Deepening Depth-First Search (IDDFS)
  • Alpha-Beta Pruning

License

This project is licensed under the MIT License - see the LICENSE file for details.