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refinement-step-generator

Generate systematic refinement steps from high-level specifications to concrete implementations in Isabelle/HOL or Coq, preserving correctness obligations at each step. Use when working with formal verification, program refinement, proof development, or when translating abstract specifications into executable code while maintaining formal guarantees. Supports data refinement (abstract types → concrete structures), algorithmic refinement (specifications → algorithms), and stepwise refinement with proof obligations.

skills/refinement-step-generator/SKILL.md

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# Refinement Step Generator

Generate systematic refinement steps that transform high-level specifications into concrete, executable implementations while preserving correctness through formal proofs.

## Overview

Refinement is the process of transforming abstract specifications into concrete implementations through a series of correctness-preserving steps. Each refinement step:

1. Makes the specification more concrete (closer to executable code)
2. Preserves correctness through formal proof obligations
3. Maintains a clear abstraction relation between levels
4. Can be verified independently

This skill provides guidance for generating refinement steps in Isabelle/HOL and Coq.
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