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Pientka, Brigitte; Tinelli, Cesare (Ed.)This paper presents and proves totally correct a new algorithm, called QSMA, for the satisfiability of a quantified formula modulo a complete theory and an initial assignment. The optimized variant of implemented in YicesQS is described and shown to preserve total correctness. A report on the performance of YicesQS at the 2022 SMT competition is included. YicesQS ran in the LIA, NIA, LRA, NRA, and BV categories and ranked second for the “largest contribution” award (single queries). It was the only solver to solve all LRA instances, where it was about two orders of magnitude faster than the second best solver (Z3).more » « less
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Bonacina, Maria Paola; Graham-Lengrand, Stephane; Shankar, Natarajan (, Satisfiability Modulo Theories workshop, CEUR Workshop Proceedings)Deharbe, David; Hyvarinen, Antti E. (Ed.)CDSAT (Conflict-Driven Satisfiability) is a paradigm for theory combination that works by coordinating theory modules to reason in the union of the theories in a conflict-driven manner. We generalize CDSAT to the case of nondisjoint theories by presenting a new CDSAT theory module for a theory of arrays with abstract length, which is an abstraction of the theory of arrays with length. The length function is a bridging function as it forces theories to share symbols, but the proposed abstraction limits the sharing to one predicate symbol. The CDSAT framework handles shared predicates with minimal changes, and the new module satisfies the CDSAT requirements, so that completeness is preserved.more » « less
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