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Satisfiability modulo theories

In computer science and mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable. It generalizes the Boolean satisfiability problem (SAT) to more complex formulas involving real numbers, integers, and/or various data structures such as lists, arrays, bit vectors, and strings. The…

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Decidable theories

SMT for undecidable theories

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Satisfiability modulo theories

Nodes111
Edges110
Triples25
Avg. degree1.98
Density0.018018
Components1

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smt solvers problem theories theory boolean arithmetic logic solver sat predicates decidable verification z3 programs automated formula many also used

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
listsinstance ofand/or various data structures0.80text
arraysinstance ofand/or various data structures0.80text
bit vectorsinstance ofand/or various data structures0.80text
and stringsinstance ofand/or various data structures0.80text
Z3instance ofSMT solvers0.80text
cvc5 have been used as a building block for a wide range of applications across computer scienceinstance ofSMT solvers0.80text
including in automated theorem provinginstance ofSMT solvers0.80text
program analysisinstance ofSMT solvers0.80text
program verificationinstance ofSMT solvers0.80text
and software testing.Since Boolean satisfiability is already NP-completeinstance ofSMT solvers0.80text
the SMT problem is typically NP-hardinstance ofSMT solvers0.80text
and for many theories it is undecidableinstance ofSMT solvers0.80text

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