A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrates on decision procedures for first-order theories that are commonly used in automated verification and reasoning, theorem-proving, compiler optimization and operations research. The techniques described in the book draw from fields such as graph theory and logic, and are routinely used in industry. The authors introduce the basic terminology of satisfiability modulo theories and then, in separate chapters, study decision procedures for each of the following theories: propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas.

A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrates on decision procedures for first-order theories that are commonly used in automated verification and reasoning, theorem-proving, compiler optimization and operations research. The techniques described in the book draw from fields such as graph theory and logic, and are routinely used in industry. The authors introduce the basic terminology of satisfiability modulo theories and then, in separate chapters, study decision procedures for each of the following theories: propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas.

A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrates on decision procedures for first-order theories that are commonly used in automated verification and reasoning, theorem-proving, compiler optimization and operations research. The techniques described in the book draw from fields such as graph theory and logic, and are routinely used in industry. The authors introduce the basic terminology of satisfiability modulo theories and then, in separate chapters, study decision procedures for each of the following theories: propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas.

This book constitutes the refereed proceedings of the 13th International Haifa Verification Conference, HVC 2017, held in Haifa, Israel in November 2017.The 13 revised full papers presented together with 4 poster and 5 tool demo papers were carefully reviewed and selected from 45 submissions. They are dedicated to advance the state of the art and state of the practice in verification and testing and are discussing future directions of testing and verification for hardware, software, and complex hybrid systems.

This dissertation focuses on two subjects in formal verification. The first subject is the development of methods and tools for the formal verification of compilers. We offer the Translation Validation approach, according to which the translation of the compiler is validated after each run. The evidence from applying translation validation to two compilers proves that this approach has some strong advantages over the more traditional formal verification of the compiler itself. The research includes several new techniques for handling industrial-size programs, among them a new decision procedure for equality logic. The second subject is the development of various optimizations to SAT algorithms, which exploit the unique structure of formulas originating from Bounded Model Checking of invariance properties. The dissertation is organized in the form of an edited collection of five published articles, and an overview in the beginning.

This volume contains the papers presented at SAT 2010, the 13th International Conference on Theory and Applications of Satis?ability Testing. SAT 2010 was held as part of the 2010 Federated Logic Conference (FLoC) and was hosted by the School of Informatics at the University of Edinburgh, Scotland. In addition to SAT, FLoC included the conferences CAV, CSF, ICLP, IJCAR, ITP, LICS, RTA, as well as over 50 workshops. A?liated with SAT were the workshops LaSh (Logic and Search, co-a?liated with ICLP), LoCoCo (Logics for C- ponent Con?guration), POS (Pragmatics Of SAT), PPC (Propositional Proof Complexity: Theory and Practice), and SMT (Satis?ability Modulo Theories, co-a?liated with CAV). SAT featured three competitions: the MAX-SAT Ev- uation 2010, the Pseudo-Boolean Competition 2010, and the SAT-Race 2010. Many hard combinatorial problems such as problems arising in veri?cation and planning can be naturally expressed within the framework of propositional satis?ability. Due to its wide applicability and enormous progress in the perf- mance of solving methods, satis?ability has become one of today's most imp- tant core technologies. The SAT 2010 call for papers invited the submission of original practical and theoretical research on satis?ability. Topics included but were not limited to proof systems and proof complexity, search algorithms and heuristics, analysis of algorithms, combinatorial theory of satis?ability, random instances vs structured instances, problem encodings, industrial applications, applicationsto combinatorics,solvers,simpli?ers andtools,casestudies and- piricalresults,exactandparameterizedalgorithms.