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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.
In computer science and formal methods, a SAT solver is a computer program which aims to solve the Boolean satisfiability problem.On input a formula over Boolean variables, such as "(x or y) and (x or not y)", a SAT solver outputs whether the formula is satisfiable, meaning that there are possible values of x and y which make the formula true, or unsatisfiable, meaning that there are no such ...
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No practical algorithms for computing the minimum unsatisfiable core are known, [3] and computing a minimum unsatisfiable core of an input formula in conjunctive normal form is -complete problem. [4] Notice the terminology: whereas the minimal unsatisfiable core was a local problem with an easy solution, the minimum unsatisfiable core is a ...
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The algorithm extends the original SAT-solving DPLL algorithm with the ability to reason about an arbitrary theory T. [ 1 ] [ 2 ] [ 3 ] At a high level, the algorithm works by transforming an SMT problem into a SAT formula where atoms are replaced with Boolean variables.