Generating Z3/Python Code with Claude (www.johndcook.com)

In a recent exploration into utilizing large language models (LLMs) for coding, the author successfully employed Claude to generate Z3/Python code that solves a complex chess puzzle. The challenge involves placing a king, queen, two bishops, two knights, and two rooks on a 6x5 chessboard under specific constraints: the bishops must occupy opposite-colored squares, and no pieces should be able to attack one another. The generated code effectively identified a total of 192 solutions, 24 of which are unique after eliminating symmetrical duplicates. This development is significant for the AI/ML community as it demonstrates the potential of LLMs like Claude in automating complex problem-solving tasks in programming and formal verification. By leveraging Z3—a powerful SMT (Satisfiability Modulo Theories) solver—the implementation highlights how AI can assist in generating practical solutions for combinatorial problems that involve intricate logical constraints. The code serves as a tangible example of combining natural language processing with formal verification techniques, paving the way for further research into AI-assisted code generation and automated reasoning in various domains.