Z3 Theorem Prover with Functional Programming

What is Z3 Theorem Prover with Functional Programming?

A Python MCP server that wraps the Z3 Theorem Prover using functional programming principles—immutable data structures, monadic error handling, and pure functions—to solve constraint satisfaction problems and analyze entity relationships.

How to use Z3 Theorem Prover with Functional Programming?

Clone the repo, install dependencies via uv pip install -e ., then run examples with python -m z3_poc.examples.main or start the MCP server with python -m z3_poc.server.main. Configure the server in your VSCode settings.json under mcpServers to enable it in Claude via Cline.

Key features of Z3 Theorem Prover with Functional Programming

• Constraint satisfaction problem solving with Z3
• Relationship analysis and inference between entities
• Functional programming: immutable Pydantic models, Result/Maybe types
• MCP server with four tools for constraint and relationship queries
• Simple and full-model interfaces for both solvers and analyzers

Use cases of Z3 Theorem Prover with Functional Programming

• Solve N-Queens puzzle with integer variables and constraints
• Infer family relationships (e.g., sibling chains) from partial data
• Perform temporal reasoning with causal relationships
• Decode cryptarithmetic puzzles like SEND + MORE = MONEY

FAQ from Z3 Theorem Prover with Functional Programming

What dependencies does the server require?

Python 3 with Z3, returns for functional abstractions, Pydantic for models, and FastMCP for the MCP interface.

How do I run the MCP server for Claude?

Set command to "uv" and args to ["--directory", "/path/to/z3_poc", "run", "z3_poc/server/main.py"] in your Cline configuration.

Can tools be used without explicit approval?

Yes—list tool names (e.g., simple_constraint_solver, analyze_relationships) in the autoApprove array.

What data is stored or transmitted?

All data stays local in Python memory; the server processes queries and returns results without persistent storage.

Does the server use authentication or custom transports?

The README does not specify authentication or non-standard transports; it relies on standard MCP tool invocation.