Rodrigo Raya and Viktor Kunčak. NP satisfiability for arrays as powers. In Bernd Finkbeiner and Thomas Wies, editors, Verification, Model Checking, and Abstract Interpretation (VMCAI), pages 301--318. Springer International Publishing, 2022.

We show that the satisfiability problem for the quantifier-free theory of product structures with the equicardinality relation is in NP. As an application, we extend the combinatory array logic fragment to handle cardinality constraints. The resulting fragment is independent of the base element and index set theories.

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