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BusyBeaver(1) — Verified in Coq

This repository contains a fully verified Coq proof for the Busy Beaver with 1 state,
written and proven as a small Test


📘 Overview

  • File: Bb1.v
  • Language: Coq 8.17+
  • Goal: Prove termination of the 1-state Busy Beaver machine
  • Method: Minimal inductive proof using structural recursion

🧩 Proof Concept

  1. Define the single-state transition rules
  2. Encode the halting configuration (None state)
  3. Apply inductive termination lemma
  4. Verify via minimalistic tactic sequence

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Fully verified Coq proof for the one-state Busy Beaver machine — a minimal example of formal halting verification.

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