The Model-Constructing Satisfiability Calculus (mcSAT) is a recently proposed generalisation of propositional DPLL\/CDCL for reasoning modulo theories. In contrast to most DPLL(T)-based SMT solvers, which carry out con ict-driven learning only on the propositional level, mcSAT calculi can also synthesise new theory literals during learning, resulting in a simple yet very exible framework for designing efficient decision procedures. We present an mcSAT calculus for the theory of bounded-length bit-vectors, based on tailor-made con ict-driven learning that can exploit both propositional and arithmetic properties of bit-vector operations. Our procedure can in particular avoid full bitblasting for constraints that are mainly arithmetic in nature, and therefore performs well on problems from domains like software verification.<\/p>\n","protected":false},"excerpt":{"rendered":"
The Model-Constructing Satisfiability Calculus (mcSAT) is a recently proposed generalisation of propositional DPLL\/CDCL for reasoning modulo theories. In contrast to most DPLL(T)-based SMT solvers, which carry out con ict-driven learning only on the propositional level, mcSAT calculi can also synthesise new theory literals during learning, resulting in a simple yet very exible framework for designing […]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"Springer","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"Proceedings of the 19th International Conference on Theory and Applications of Satisfiability Testing (SAT 2016)","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"","msr_page_range_start":"","msr_page_range_end":"","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"Proceedings of the 19th International Conference on Theory and Applications of Satisfiability Testing (SAT 2016)","msr_doi":"10.1007\/978-3-319-40970-2_16","msr_arxiv_id":"","msr_s2_paper_id":"","msr_mag_id":"","msr_pubmed_id":"","msr_other_authors":"Aleksandar Zeljic, Christoph M. 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