Quality Enriched Prompting

---
name: quality-enriched-prompting
description: "[0,1]-enriched category implementation for gradient-based prompt quality optimization. Use when implementing quality-aware prompt systems, building enriched categorical structures for prompt evaluation, creating continuous optimization over prompt spaces, or applying Bradley's enriched category theory to language model quality scoring."
---

# Quality-Enriched Prompting

Implementation of [0,1]-enriched categories for continuous prompt quality optimization.

## Enriched Category Foundations

In a [0,1]-enriched category (following Bradley's framework):
- **Objects**: Prompts, responses, contexts
- **Hom-objects**: Quality scores in [0,1] instead of sets
- **Composition**: Quality degradation via multiplication or minimum
- **Identity**: Perfect quality (1.0)

## Basic Enriched Structure