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program-to-model-extractor

Extract abstract mathematical models from functional code (Haskell, OCaml, F#) for formal reasoning in Isabelle/HOL. Use when users need to: (1) Convert functional programs to Isabelle definitions, (2) Extract high-level algorithm essence from implementation code, (3) Generate formal specifications and properties from code, (4) Create verification-ready models that capture mathematical properties while abstracting away implementation details. Focuses on structural recursion, algebraic data types, higher-order functions, and invariant extraction.

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# Program-to-Model Extractor

Extract high-level mathematical models from functional code for formal reasoning in Isabelle/HOL.

## Overview

This skill transforms functional programs (Haskell, OCaml, F#) into abstract mathematical models suitable for formal verification in Isabelle/HOL. The extraction focuses on the algorithm's mathematical essence—capturing core properties, invariants, and structural patterns while abstracting away language-specific implementation details.

## Extraction Workflow

### 1. Analyze the Source Code

Identify key elements:
- **Data structures**: Algebraic types, lists, trees, custom types
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