Raya, RodrigoKuncak, Viktor2022-03-042022-03-042022-03-042022-01-1410.1007/978-3-030-94583-1_15https://infoscience.epfl.ch/handle/20.500.14299/186037We show that the satisfiability problem for the quantifier-free theory of product structures with the equicardinality relation is inNP. As an application, we extend the combinatory array logic fragmentto handle cardinality constraints. The resulting fragment is independentof the base element and index set theories.text::conference output::conference proceedings::conference paper