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TACAS
2010
Springer

Satisfiability Modulo the Theory of Costs: Foundations and Applications

8 years 1 months ago
Satisfiability Modulo the Theory of Costs: Foundations and Applications
Abstract. We extend the setting of Satisfiability Modulo Theories (SMT) by introducing a theory of costs C, where it is possible to model and reason about resource consumption and multiple cost functions, e.g., battery, time, and space. We define a decision procedure that has all the features required for the integration withint the lazy SMT schema: incrementality, backtrackability, construction of conflict sets, and deduction. This naturally results in an SMT solver for the disjoint union of C and any other theory T . This framework has two important applications. First, we tackle the problem of Optimization Modulo Theories: rather than checking the existence of a satisfying assignment, as in SMT, we require a satisfying assignment that minimizes a given cost function. We build on the decision problem for SMT with costs, i.e., finding a satisfying assigniment with cost within an admissibility range, and propose two algorithms for optimization. Second, we use multiple cost functions to...
Alessandro Cimatti, Anders Franzén, Alberto
Added 15 Feb 2011
Updated 15 Feb 2011
Type Journal
Year 2010
Where TACAS
Authors Alessandro Cimatti, Anders Franzén, Alberto Griggio, Roberto Sebastiani, Cristian Stenico
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