ing WS1S Systems to Verify Parameterized Networks . . . . . . . . . . . . 188 Kai Baukus, Saddek Bensalem, Yassine Lakhnech and Karsten Stahl FMona: A Tool for Expressing Validation Techniques over Infinite State Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204 J.-P. Bodeveix and M. Filali Transitive Closures of Regular Relations for Verifying Infinite-State Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 220 Bengt Jonsson and Marcus Nilsson Diagnostic and Test Generation Using Static Analysis to Improve Automatic Test Generation . . . . . . . . . . . . . 235 Marius Bozga, Jean-Claude Fernandez and Lucian Ghirvu Efficient Diagnostic Generation for Boolean Equation Systems . . . . . . . . . . . . 251 Radu Mateescu Efficient Model-Checking Compositional State Space Generation with Partial Order Reductions for Asynchronous Communicating Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 266 Jean-Pierre Krimm and Laurent Mounier Checking for CFFD-Preorder with Tester Processes . . . . . . . . . . . . . . . . . . . . . . . 283 Juhana Helovuo and Antti Valmari Fair Bisimulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299 Thomas A. Henzinger and Sriram K. Rajamani Integrating Low Level Symmetries into Reachability Analysis . . . . . . . . . . . . . 315 Karsten Schmidt Model-Checking Tools Model Checking Support for the ASM High-Level Language . . . . . . . . . . . . . . 331 Giuseppe Del Castillo and Kirsten Winter Table of

Tools and Algorithms for the Construction and Analysis of Systems. Proc. TACAS 2009

The SCIP Optimization Suite provides a collection of software packages for
mathematical optimization centered around the constraint integer programming frame-
work SCIP. This paper discusses enhancements and extensions contained in version 7.0
of the SCIP Optimization Suite. The new version features the parallel presolving library
PaPILO as a new addition to the suite. PaPILO 1.0 simplifies mixed-integer linear op-
timization problems and can be used stand-alone or integrated into SCIP via a presolver
plugin. SCIP 7.0 provides additional support for decomposition algorithms. Besides im-
provements in the Benders’ decomposition solver of SCIP, user-defined decomposition
structures can be read, which are used by the automated Benders’ decomposition solver
and two primal heuristics. Additionally, SCIP 7.0 comes with a tree size estimation
that is used to predict the completion of the overall solving process and potentially
trigger restarts. Moreover, substantial performance improvements of the MIP core were
achieved by new developments in presolving, primal heuristics, branching rules, conflict
analysis, and symmetry handling. Last, not least, the report presents updates to other
components and extensions of the SCIP Optimization Suite, in particular, the LP solver
SoPlex and the mixed-integer semidefinite programming solver SCIP-SDP.

/pdf/the-scip-optimization-suite-7-0-13iz93iexj.pdf

The SCIP Optimization Suite 7.0

SAT: Past and Future.- Encodings of Problems in Effectively Propositional Logic.- Efficient Circuit to CNF Conversion.- Mapping CSP into Many-Valued SAT.- Circuit Based Encoding of CNF Formula.- Breaking Symmetries in SAT Matrix Models.- Partial Max-SAT Solvers with Clause Learning.- MiniMaxSat: A New Weighted Max-SAT Solver.- Solving Multi-objective Pseudo-Boolean Problems.- Improved Lower Bounds for Tree-Like Resolution over Linear Inequalities.- Horn Upper Bounds and Renaming.- Matched Formulas and Backdoor Sets.- Short XORs for Model Counting: From Theory to Practice.- Variable Dependency in Local Search: Prevention Is Better Than Cure.- Combining Adaptive Noise and Look-Ahead in Local Search for SAT.- From Idempotent Generalized Boolean Assignments to Multi-bit Search.- Satisfiability with Exponential Families.- Formalizing Dangerous SAT Encodings.- Algorithms for Variable-Weighted 2-SAT and Dual Problems.- On the Boolean Connectivity Problem for Horn Relations.- A First Step Towards a Unified Proof Checker for QBF.- Dynamically Partitioning for Solving QBF.- Backdoor Sets of Quantified Boolean Formulas.- Bounded Universal Expansion for Preprocessing QBF.- Effective Incorporation of Double Look-Ahead Procedures.- Applying Logic Synthesis for Speeding Up SAT.- Towards a Better Understanding of the Functionality of a Conflict-Driven SAT Solver.- A Lightweight Component Caching Scheme for Satisfiability Solvers.- Minimum 2CNF Resolution Refutations in Polynomial Time.- Polynomial Time SAT Decision for Complementation-Invariant Clause-Sets, and Sign-non-Singular Matrices.- Verifying Propositional Unsatisfiability: Pitfalls to Avoid.- A Simple and Flexible Way of Computing Small Unsatisfiable Cores in SAT Modulo Theories.- SAT Solving for Termination Analysis with Polynomial Interpretations.- Fault Localization and Correction with QBF.- Sensor Deployment for Failure Diagnosis in Networked Aerial Robots: A Satisfiability-Based Approach.- Inversion Attacks on Secure Hash Functions Using sat Solvers.

Theory and applications of satisfiability testing - SAT 2007 : 10th International Conference, Lisbon, Portugal, May 28-31, 2007 : proceedings

THAT the foundations of mathematics are A important is a proposition which will find few opponents, for the science of mathematics is commonly regarded as man's securest intellectual possession. What constitutes these foundations is a subject on which agreement has not been reached. There are, however, three main directions into which the body of modern research has branched, namely, the logistic, the intuitionistic and the formalistic theories. Broadly speaking, the logistic theory regards mathematics as a branch of logic, the intuitionistic theory regards the theorems of mathematics as having actual significance, the formalistic theory regards mathe matics as devoid of meaning per se. The most powerful exponent of the formalistic attitude is Hilbert, and the present volume is the first part of a systematic exposition of mathematical foundations from the point of view of the school of thought which he has founded. This is probably the most important book on mathe-matical foundations which has appeared since Whitehead and Russell's “Principia Mathematical Grundlagen der Mathematik
 Band 1. Von D. Hilbert und P. Bernays. (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Beriick-sichtigung der Anwendungsgebiete, herausgegeben von R. Courant, Band 40.) Pp. xii + 471. (Berlin: Julius Springer, 1934.) 37.80 gold marks.

Grundlagen der Mathematik

We present a new CEGAR-based algorithm for QBF. The algorithm builds on a decomposition of QBFs into a sequence of propositional formulas, which we call the clausal abstraction. Each of the propositional formulas contains the variables of just one quantifier level and additional variables describing the interaction with adjacent quantifier levels. This decomposition leads to a simpler notion of refinement compared to earlier approaches. We also show how to effectively construct Skolem and Herbrand functions from true, respectively false, QBFs; allowing us to certify the solver result. We implemented the algorithm in a solver called CAQE. The experimental evaluation shows that CAQE has competitive performance compared to current QBF solvers and outperforms previous certifying solvers.

/pdf/caqe-a-certifying-qbf-solver-4ohzivb04o.pdf

CAQE: A Certifying QBF Solver

In this paper, we discuss the most important changes and new features introduced with version 2.0 of our SMT solver Boolector, which placed first in the QF_BV and QF_ABV tracks of the SMT competition 2014. We further outline some features and techniques that where not yet described in the context of Boolector.

Boolector 2.0

Abstract cvc5 is the latest SMT solver in the cooperating validity checker series and builds on the successful code base of CVC4. This paper serves as a comprehensive system description of cvc5 ’s architectural design and highlights the major features and components introduced since CVC4 1.8. We evaluate cvc5 ’s performance on all benchmarks in SMT-LIB and provide a comparison against CVC4 and Z3. 

/pdf/cvc5-a-versatile-and-industrial-strength-smt-solver-16axw7ew.pdf

cvc5: A Versatile and Industrial-Strength SMT Solver

We describe Btor2, a word-level model checking format for capturing models of hardware and potentially software in a bit-precise manner. This simple, line-based and easy to parse format can be seen as a sorted extension of the word-level format Btor. It uses design principles from the bit-level format Aiger and follows semantics of the Smt-Lib logics of bit-vectors with arrays. This intermediate format can be used in various verification flows and is perfectly suited to establish a word-level model checking competition. It is supported by our new open source model checker BtorMC, which is built on top of version 3.0 of our SMT solver Boolector. We further provide new word-level benchmarks on which these open source tools are evaluated.

Btor2 , BtorMC and Boolector 3.0

A certificate of (un)satisfiability for a quantified Boolean formula (QBF) represents sets of assignments to the variables, which act as witnesses for its truth value. Certificates are highly requested for practical applications of QBF like formal verification and model checking. We present an integrated set of tools realizing resolution-based certificate extraction for QBF in prenex conjunctive normal form. Starting from resolution proofs produced by the solver DepQBF, we describe the workflow consisting of proof checking, certificate extraction, and certificate checking. We implemented the steps of that workflow in stand-alone tools and carried out comprehensive experiments. Our results demonstrate the practical applicability of resolution-based certificate extraction.

Resolution-based certificate extraction for QBF

A certificate of (un)satisfiability for a quantified Boolean formula (QBF) represents concrete assignments to the variables, which act as witnesses for its truth value. Certificates are highly requested for practical applications of QBF like formal verification and model checking. We present an integrated set of tools realizing resolution-based certificate extraction for QBF in prenex conjunctive normal form. Starting from resolution proofs produced by the solver DepQBF, we describe the workflow consisting of proof checking, certificate extraction, and certificate checking. We implemented the steps of that workflow in stand-alone tools and carried out comprehensive experiments. Our results demonstrate the practical applicability of resolution-based certificate extraction.

/pdf/resolution-based-certificate-extraction-for-qbf-tool-1egg6z1e8w.pdf

Aina Niemetz

Papers

Boolector 2.0

cvc5: A Versatile and Industrial-Strength SMT Solver

Btor2 , BtorMC and Boolector 3.0

Resolution-based certificate extraction for QBF

Resolution-Based Certificate Extraction for QBF - (Tool Presentation).