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importantSYS.SOURCE: arXiv• 2026-08-12T06:30:57Z

SAT-Based Verification of Minimal Countermodels in Tarski's High School Algebra Problem

#sat solver#formal verification#algebraic structures#logic

This paper uses SAT solvers to prove that the minimal countermodels for Tarski's high school algebra problem have 12 elements, confirming a conjecture by Burris and Yeats. The authors also enumerate 8,957,952 isomorphism classes of such countermodels and verify their results using formal methods in Lean.

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