DSPy Categorical Prompt Optimization

DSPy provides categorical foundations for declarative LLM programming through typed signatures and compositional modules.

Installation

pip install dspy-ai

Core Categorical Concepts

DSPy maps cleanly to category theory:

• Signature: Morphism type A → B specifying input/output structure
• Module: Functor lifting signatures to executable programs
• Optimizer: Natural transformation improving module implementations
• Composition: Sequential/parallel module composition preserving types