Gurddy MCP Server

A Model Context Protocol (MCP) server providing solutions for Constraint Satisfaction Problems (CSP) and Linear Programming (LP). Built on the gurddy optimization library, it supports solving a variety of classic problems through two MCP transports: stdio (for IDE integration) and HTTP/SSE (for web clients).

🚀 Quick Start (Stdio): pip install gurddy_mcp then configure in your IDE

🌐 Quick Start (HTTP): docker run -p 8080:8080 gurddy-mcp or see deployment guide

📦 PyPI Package: https://pypi.org/project/gurddy_mcp

Main Features

CSP Problem Solving

• N-Queens Problem: Place N queens on an N×N chessboard so that they do not attack each other
• Graph Coloring Problem: Assign colors to graph vertices so that adjacent vertices have different colors
• Map Coloring Problem: Assign colors to map regions so that adjacent regions have different colors
• Sudoku Solving: Solve 9×9 Sudoku puzzles
• General CSP Solver: Supports custom constraint satisfaction problems

LP/Optimization Problems

• Linear Programming: Solve optimization problems with linear objective functions and constraints
• Production Planning: Solve production optimization problems under resource constraints
• Integer Programming: Supports optimization problems with integer variables

MCP Protocol Support

• Stdio Transport: For local IDE integration (Kiro, Claude Desktop, etc.)
• HTTP/SSE Transport: For web-based clients and remote access
• Unified tool interface across both transports
• Full JSON-RPC 2.0 compliance

Installation

From PyPI (Recommended)

# Install the latest stable version
pip install gurddy_mcp

# Or install with development dependencies
pip install gurddy_mcp[dev]

From Source

# Clone the repository
git clone https://github.com/novvoo/gurddy-mcp.git
cd gurddy-mcp

# Install in development mode
pip install -e .

# Or install dependencies manually
pip install -r requirements.txt

Verify Installation

# Test MCP stdio server
echo '{"jsonrpc":"2.0","id":1,"method":"tools/list","params":{}}' | gurddy-mcp

Usage

1. MCP Stdio Server (Primary Interface)

The main gurddy-mcp command is an MCP stdio server that can be integrated with tools like Kiro.

Option A: Using uvx (Recommended - Always Latest Version)

Using uvx ensures you always run the latest published version without manual installation.

Configure in ~/.kiro/settings/mcp.json or .kiro/settings/mcp.json:

Recommended: Explicit latest version

{
  "mcpServers": {
    "gurddy": {
      "command": "uvx",
      "args": ["gurddy-mcp@latest"],
      "env": {},
      "disabled": false,
      "autoApprove": [
        "run_example",
        "info",
        "install",
        "solve_n_queens",
        "solve_sudoku",
        "solve_graph_coloring",
        "solve_map_coloring",
        "solve_lp",
        "solve_production_planning"
      ]
    }
  }
}

Alternative: Without version specifier (also uses latest)

{
  "mcpServers": {
    "gurddy": {
      "command": "uvx",
      "args": ["gurddy-mcp"],
      "env": {},
      "disabled": false,
      "autoApprove": ["run_example", "info", "install", "solve_n_queens", "solve_sudoku", "solve_graph_coloring", "solve_map_coloring", "solve_lp", "solve_production_planning"]
    }
  }
}

Pin to specific version (if needed)

{
  "mcpServers": {
    "gurddy": {
      "command": "uvx",
      "args": ["gurddy-mcp==0.1.3"],
      "env": {},
      "disabled": false,
      "autoApprove": ["run_example", "info", "install", "solve_n_queens", "solve_sudoku", "solve_graph_coloring", "solve_map_coloring", "solve_lp", "solve_production_planning"]
    }
  }
}

Why use uvx?

• ✅ Always runs the latest published version automatically
• ✅ No manual installation or upgrade needed
• ✅ Isolated environment per execution
• ✅ No dependency conflicts with your system Python

Prerequisites: Install uv first:

# macOS/Linux
curl -LsSf https://astral.sh/uv/install.sh | sh

# Or using pip
pip install uv

# Or using Homebrew (macOS)
brew install uv

Option B: Using Direct Command (After Installation)

If you've already installed gurddy-mcp via pip:

{
  "mcpServers": {
    "gurddy": {
      "command": "gurddy-mcp",
      "args": [],
      "env": {},
      "disabled": false,
      "autoApprove": [
        "run_example",
        "info",
        "install",
        "solve_n_queens",
        "solve_sudoku",
        "solve_graph_coloring",
        "solve_map_coloring",
        "solve_lp",
        "solve_production_planning"
      ]
    }
  }
}

Available MCP tools:

• info - Get gurddy package information
• install - Install or upgrade the gurddy package
• run_example - Run example programs (n_queens, graph_coloring, etc.)
• solve_n_queens - Solve N-Queens problem
• solve_sudoku - Solve Sudoku puzzles
• solve_graph_coloring - Solve graph coloring problems
• solve_map_coloring - Solve map coloring problems
• solve_lp - Solve Linear Programming (LP) or Mixed Integer Programming (MIP) problems
• solve_production_planning - Solve production planning optimization problems

Test the MCP server:

# Test initialization
echo '{"jsonrpc":"2.0","id":1,"method":"initialize","params":{"protocolVersion":"2024-11-05","capabilities":{},"clientInfo":{"name":"test","version":"1.0"}}}' | gurddy-mcp

# Test listing tools
echo '{"jsonrpc":"2.0","id":2,"method":"tools/list","params":{}}' | gurddy-mcp

2. MCP HTTP Server

Start the HTTP MCP server (MCP protocol over HTTP/SSE):

Local Development:

uvicorn mcp_server.mcp_http_server:app --host 127.0.0.1 --port 8080

Docker:

# Build the image
docker build -t gurddy-mcp .

# Run the container
docker run -p 8080:8080 gurddy-mcp

Access the server:

• Root: http://127.0.0.1:8080/
• Health check: http://127.0.0.1:8080/health
• SSE endpoint: http://127.0.0.1:8080/sse
• Message endpoint: http://127.0.0.1:8080/message (POST)

Test the HTTP MCP server:

# List available tools
curl -X POST http://127.0.0.1:8080/message \
  -H "Content-Type: application/json" \
  -d '{"jsonrpc":"2.0","id":1,"method":"tools/list","params":{}}'

# Call a tool
curl -X POST http://127.0.0.1:8080/message \
  -H "Content-Type: application/json" \
  -d '{"jsonrpc":"2.0","id":2,"method":"tools/call","params":{"name":"info","arguments":{}}}'

Python Client Example: See examples/http_mcp_client.py for a complete example of how to interact with the HTTP MCP server.

MCP Tools

The server provides the following MCP tools:

info

Get information about the gurddy package.

{
  "name": "info",
  "arguments": {}
}

install

Install or upgrade the gurddy package.

{
  "name": "install",
  "arguments": {
    "package": "gurddy",
    "upgrade": false
  }
}

run_example

Run a gurddy example.

{
  "name": "run_example",
  "arguments": {
    "example": "n_queens"
  }
}

Available examples: lp, csp, n_queens, graph_coloring, map_coloring, scheduling, logic_puzzles, optimized_csp, optimized_lp

solve_n_queens

Solve the N-Queens problem.

{
  "name": "solve_n_queens",
  "arguments": {
    "n": 8
  }
}

solve_sudoku

Solve a 9x9 Sudoku puzzle.

{
  "name": "solve_sudoku",
  "arguments": {
    "puzzle": [[5,3,0,...], [6,0,0,...], ...]
  }
}

solve_graph_coloring

Solve graph coloring problem.

{
  "name": "solve_graph_coloring",
  "arguments": {
    "edges": [[0,1], [1,2], [2,0]],
    "num_vertices": 3,
    "max_colors": 3
  }
}

solve_map_coloring

Solve map coloring problem.

{
  "name": "solve_map_coloring",
  "arguments": {
    "regions": ["A", "B", "C"],
    "adjacencies": [["A", "B"], ["B", "C"]],
    "max_colors": 2
  }
}

solve_lp

Solve a Linear Programming (LP) or Mixed Integer Programming (MIP) problem using PuLP.

{
  "name": "solve_lp",
  "arguments": {
    "profits": {
      "ProductA": 30,
      "ProductB": 40
    },
    "consumption": {
      "ProductA": {"Labor": 2, "Material": 3},
      "ProductB": {"Labor": 3, "Material": 2}
    },
    "capacities": {
      "Labor": 100,
      "Material": 120
    },
    "integer": true
  }
}

solve_production_planning

Solve a production planning optimization problem with optional sensitivity analysis.

{
  "name": "solve_production_planning",
  "arguments": {
    "profits": {
      "ProductA": 30,
      "ProductB": 40
    },
    "consumption": {
      "ProductA": {"Labor": 2, "Material": 3},
      "ProductB": {"Labor": 3, "Material": 2}
    },
    "capacities": {
      "Labor": 100,
      "Material": 120
    },
    "integer": true,
    "sensitivity_analysis": false
  }
}

Docker Deployment

Build and Run

# Build the image
docker build -t gurddy-mcp .

# Run the container
docker run -p 8080:8080 gurddy-mcp

# Or with environment variables
docker run -p 8080:8080 -e PORT=8080 gurddy-mcp

Docker Compose

version: '3.8'
services:
  gurddy-mcp:
    build: .
    ports:
      - "8080:8080"
    environment:
      - PYTHONUNBUFFERED=1
    restart: unless-stopped

Example Output

N-Queens Problem

POST /solve-n-queens
{
"n": 8
}

Project Structure

mcp_server/
├── handlers/
│   └── gurddy.py           # Core solver implementation
├── tools/                  # MCP tool wrappers
├── examples/               # Rich CSP Problem Examples
│   ├── n_queens.py         # N-Queens Problem
│   ├── graph_coloring.py   # Graph Coloring Problem
│   ├── map_coloring.py     # Map Coloring Problem
│   ├── logic_puzzles.py    # Logic Puzzles
│   └── scheduling.py       # Scheduling Problem
├── mcp_stdio_server.py     # MCP Stdio Server (for IDE integration)
└── mcp_http_server.py      # MCP HTTP Server (for web clients)

examples/
└── http_mcp_client.py      # Example HTTP MCP client

Dockerfile                  # Docker configuration for HTTP server

MCP Transports

Transport	Command	Protocol	Use Case
Stdio	gurddy-mcp	MCP over stdin/stdout	IDE integration (Kiro, Claude Desktop, etc.)
HTTP	uvicorn mcp_server.mcp_http_server:app	MCP over HTTP/SSE	Web clients, remote access, Docker deployment

Both transports implement the same MCP protocol and provide identical tools.

Example Output

N-Queens Problem

$ gurddy-mcp-cli run-example n_queens

Solving 8-Queens problem...

8-Queens Solution:
+---+---+---+---+---+---+---+---+
| Q |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
|   |   |   |   | Q |   |   |   |
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   | Q |
+---+---+---+---+---+---+---+---+
|   |   |   |   |   | Q |   |   |
+---+---+---+---+---+---+---+---+
|   |   | Q |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   | Q |   |
+---+---+---+---+---+---+---+---+
|   | Q |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
|   |   |   | Q |   |   |   |   |
+---+---+---+---+---+---+---+---+
Queen positions: (0,0), (1,4), (2,7), (3,5), (4,2), (5,6), (6,1), (7,3)

Logic Puzzles

$ python -m mcp_server.server run-example logic_puzzles

Solving Simple Logic Puzzle:
Solution:
Position 1: Alice has Cat in Green house
Position 2: Bob has Dog in Red house  
Position 3: Carol has Fish in Blue house

Solving the Famous Zebra Puzzle (Einstein's Riddle)...
ANSWERS:
Who owns the zebra? Ukrainian (House 5)
Who drinks water? Japanese (House 2)

HTTP API Examples

Classic Problem Solving

Australian Map Coloring

import requests

response = requests.post("http://127.0.0.1:8080/solve-map-coloring", json={ 
"regions": ['WA', 'NT', 'SA', 'QLD', 'NSW', 'VIC', 'TAS'], 
"adjacencies": [ 
['WA', 'NT'], ['WA', 'SA'], ['NT', 'SA'], ['NT', 'QLD'], 
['SA', 'QLD'], ['SA', 'NSW'], ['SA', 'VIC'], 
['QLD', 'NSW'], ['NSW', 'VIC'] 
], 
"max_colors": 4
})

8-Queens Problem

response = requests.post("http://127.0.0.1:8080/solve-n-queens",
json={"n": 8})

Available Examples

All examples can be run using gurddy-mcp run-example <name> or python -m mcp_server.server run-example <name>:

CSP Examples ✅

• n_queens - N-Queens problem (4, 6, 8 queens with visual board display)
• graph_coloring - Graph coloring (Triangle, Square, Petersen graph, Wheel graph)
• map_coloring - Map coloring (Australia, USA Western states, Europe)
• scheduling - Scheduling problems (Course scheduling, meeting scheduling, resource allocation)
• logic_puzzles - Logic puzzles (Simple logic puzzle, Einstein's Zebra puzzle)
• optimized_csp - Advanced CSP techniques (Sudoku solver)

LP Examples ✅

• lp / optimized_lp - Linear programming examples:
  • Portfolio optimization with risk constraints
  • Transportation problem (supply chain optimization)
  • Constraint relaxation analysis
  • Performance comparison across problem sizes

Supported Problem Types

CSP Problems

• N-Queens: The classic N-Queens problem, supporting chessboards of any size
• Graph Coloring: Vertex coloring of arbitrary graph structures
• Map Coloring: Coloring geographic regions, verifying the Four Color Theorem
• Sudoku: Solving standard 9×9 Sudoku puzzles
• Logic Puzzles: Including classic logical reasoning problems such as the Zebra Puzzle
• Scheduling: Course scheduling, meeting scheduling, resource allocation, etc.

Optimization Problems

• Linear Programming: Linear optimization with continuous variables
• Integer Programming: Optimization with discrete variables
• Production Planning: Production optimization under resource constraints
• Mixed Integer Programming: Optimization with a mix of continuous and discrete variables

Performance Features

• Fast Solution: Typically completes in milliseconds for small to medium-sized problems (N-Queens with N ≤ 12, graph coloring with < 50 vertices)
• Memory Efficient: Uses backtracking search and constraint propagation, resulting in a small memory footprint.
• Extensible: Supports custom constraints and objective functions
• Concurrency-Safe: The HTTP API supports concurrent request processing

Performance

All examples run efficiently:

• CSP Examples: 0.4-0.5 seconds (N-Queens, Graph Coloring, etc.)
• LP Examples: 0.8-0.9 seconds (Portfolio optimization, Transportation, etc.)

Troubleshooting

Common Errors

• "gurddy package not available": Install with python -m mcp_server.server install
• "No solution found": No solution exists under given constraints; try relaxing constraints
• "Invalid input types": Check the data types of input parameters
• "Unknown example": Use python -m mcp_server.server run-example --help to see available examples

Installation Issues

# Install all dependencies
pip install -r requirements.txt

# Or install individually
pip install gurddy>=0.1.6 pulp>=2.6.0

# Check installation
python -c "import gurddy, pulp; print('All dependencies installed')"

Example Debugging

Run examples directly for debugging:

# After installing gurddy_mcp
python -c "from mcp_server.examples import n_queens; n_queens.main()"

# Or from source
python mcp_server/examples/n_queens.py
python mcp_server/examples/graph_coloring.py
python mcp_server/examples/logic_puzzles.py

Extension Development

Adding a New CSP Problem

1. In mcp_server/examples/ Create a problem implementation in mcp_server/handlers/gurddy.py
2. Add the solver function in mcp_server/handlers/gurddy.py
3. Add the API endpoint in mcp_server/http_api.py

Custom Constraints

# Define a custom constraint in gurddy
def custom_constraint(var1, var2):
return var1 + var2 <= 10

model.addConstraint(gurddy.FunctionConstraint(custom_constraint, (var1, var2)))

License

This project is licensed under an open source license. Please see the LICENSE file for details.