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

from dataclasses import dataclass
from typing import Callable, Dict, Tuple, List
import numpy as np