Proving UNSAT in SMT: The Case of Quantifier Free Non-Linear Real Arithmetic

Erika Abraham, James H. Davenport, Matthew England, Gereon Kremer

We discuss the topic of unsatisfiability proofs in SMT, particularly with reference to quantifier free non-linear real arithmetic. We outline how the methods here do not admit trivial proofs and how past formalisation attempts are not sufficient. We note that the new breed of local search based algorithms for this domain may offer an easier path forward.

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