Solving Hard Industrial Combinatorial Problems With Sat

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Solving Hard Industrial Combinatorial Problems with SAT

Author : Ignasi Abío Roig
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Solving Hard Industrial Combinatorial Problems with SAT by : Ignasi Abío Roig

Download or read book Solving Hard Industrial Combinatorial Problems with SAT written by Ignasi Abío Roig and published by . This book was released on 2013 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of this thesis is the development of SAT-based techniques and tools for solving industrial combinatorial problems. First, it describes the architecture of state-of-the-art SAT and SMT Solvers based on the classical DPLL procedure. These systems can be used as black boxes for solving combinatorial problems. However, sometimes we can increase their efficiency with slight modifications of the basic algorithm. Therefore, the study and development of techniques for adjusting SAT Solvers to specific combinatorial problems is the first goal of this thesis. Namely, SAT Solvers can only deal with propositional logic. For solving general combinatorial problems, two different approaches are possible: - Reducing the complex constraints into propositional clauses. - Enriching the SAT Solver language. The first approach corresponds to encoding the constraint into SAT. The second one corresponds to using propagators, the basis for SMT Solvers. Regarding the first approach, in this document we improve the encoding of two of the most important combinatorial constraints: cardinality constraints and pseudo-Boolean constraints. After that, we present a new mixed approach, called lazy decomposition, which combines the advantages of encodings and propagators. The other part of the thesis uses these theoretical improvements in industrial combinatorial problems. We give a method for efficiently scheduling some professional sport leagues with SAT. The results are promising and show that a SAT approach is valid for these problems. However, the chaotical behavior of CDCL-based SAT Solvers due to VSIDS heuristics makes it difficult to obtain a similar solution for two similar problems. This may be inconvenient in real-world problems, since a user expects similar solutions when it makes slight modifications to the problem specification. In order to overcome this limitation, we have studied and solved the close solution problem, i.e., the problem of quickly finding a close solution when a similar problem is considered.

Theory and Applications of Satisfiability Testing - SAT 2010

Author : Ofer Strichman
Publisher : Springer Science & Business Media
ISBN 13 : 3642141854
Total Pages : 411 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Theory and Applications of Satisfiability Testing - SAT 2010 by : Ofer Strichman

Download or read book Theory and Applications of Satisfiability Testing - SAT 2010 written by Ofer Strichman and published by Springer Science & Business Media. This book was released on 2010-06-30 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LNCS series reports state-of-the-art results in computer science research, development, and education, at a high level and in both printed and electronic form. Enjoying tight cooperation with the R&D Community with numerous individuals, as well as with prestigious organizations and societies, LNCS has grown into the most comprehensive computer science research forum available. The scope of LNCS, including its subseries LNAI and LNBI, spans the whole range of computer science and information technology including interdisciplinary topics in a variety of application fields. In parallel to the printed book, each new volume is published electronically in LNCS Online.

Handbook of Satisfiability

Author : A. Biere
Publisher : IOS Press
ISBN 13 : 1643681613
Total Pages : 1486 pages
Book Rating : 4.6/5 (436 download)

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Book Synopsis Handbook of Satisfiability by : A. Biere

Download or read book Handbook of Satisfiability written by A. Biere and published by IOS Press. This book was released on 2021-05-05 with total page 1486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Propositional logic has been recognized throughout the centuries as one of the cornerstones of reasoning in philosophy and mathematics. Over time, its formalization into Boolean algebra was accompanied by the recognition that a wide range of combinatorial problems can be expressed as propositional satisfiability (SAT) problems. Because of this dual role, SAT developed into a mature, multi-faceted scientific discipline, and from the earliest days of computing a search was underway to discover how to solve SAT problems in an automated fashion. This book, the Handbook of Satisfiability, is the second, updated and revised edition of the book first published in 2009 under the same name. The handbook aims to capture the full breadth and depth of SAT and to bring together significant progress and advances in automated solving. Topics covered span practical and theoretical research on SAT and its applications and include search algorithms, heuristics, analysis of algorithms, hard instances, randomized formulae, problem encodings, industrial applications, solvers, simplifiers, tools, case studies and empirical results. SAT is interpreted in a broad sense, so as well as propositional satisfiability, there are chapters covering the domain of quantified Boolean formulae (QBF), constraints programming techniques (CSP) for word-level problems and their propositional encoding, and satisfiability modulo theories (SMT). An extensive bibliography completes each chapter. This second edition of the handbook will be of interest to researchers, graduate students, final-year undergraduates, and practitioners using or contributing to SAT, and will provide both an inspiration and a rich resource for their work. Edmund Clarke, 2007 ACM Turing Award Recipient: "SAT solving is a key technology for 21st century computer science." Donald Knuth, 1974 ACM Turing Award Recipient: "SAT is evidently a killer app, because it is key to the solution of so many other problems." Stephen Cook, 1982 ACM Turing Award Recipient: "The SAT problem is at the core of arguably the most fundamental question in computer science: What makes a problem hard?"

Theory and Applications of Satisfiability Testing – SAT 2008

Author : Hans Kleine Büning
Publisher : Springer
ISBN 13 : 354079719X
Total Pages : 315 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Theory and Applications of Satisfiability Testing – SAT 2008 by : Hans Kleine Büning

Download or read book Theory and Applications of Satisfiability Testing – SAT 2008 written by Hans Kleine Büning and published by Springer. This book was released on 2008-05-07 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the 11th International Conference on Theory and Applications of Satis?ability Testing (SAT 2008). The series of International Conferences on Theory and Applications of S- is?ability Testing (SAT) has evolved from a ?rst workshop on SAT in 1996 to an annual international conference which is a platform for researchers studying various aspects of the propositional satis?ability problem and its applications. In the past, the SAT conference venue alternated between Europe and North America. For the ?rst time, the conference venue was in Asia, more precisely at the Zhudao Guest House, near Sun Yat-Sen University in Guangzhou, P. R. China. Many hard combinatorial problems can be encoded into SAT. Therefore - provementsonheuristics onthe practicalside,as wellastheoreticalinsightsinto SAT apply to a large range of real-world problems. More speci?cally, many - portant practical veri?cation problems can be rephrased as SAT problems. This applies to veri?cation problems in hardware and software. Thus SAT is bec- ing one of the most important core technologies to verify secure and dependable systems. The topics of the conference span practical and theoretical research on SAT and its applications and include but are not limited to proof systems, proof complexity, search algorithms, heuristics, analysis of algorithms, hard instances, randomized formulae, problem encodings, industrial applications, solvers, s- pli?ers, tools, case studies, and empirical results. SAT is interpreted in a rather broad sense: besides propositional satis?ability, it includes, for example, the - main of quanti?ed Boolean formulae (QBF) and satis?ability modulo theories (SMT).

Decision Procedures

Author : Daniel Kroening
Publisher : Springer Science & Business Media
ISBN 13 : 3540741046
Total Pages : 314 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Decision Procedures by : Daniel Kroening

Download or read book Decision Procedures written by Daniel Kroening and published by Springer Science & Business Media. This book was released on 2008-05-23 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Principles and Practice of Constraint Programming

Author : John Hooker
Publisher : Springer
ISBN 13 : 3319983342
Total Pages : 777 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Principles and Practice of Constraint Programming by : John Hooker

Download or read book Principles and Practice of Constraint Programming written by John Hooker and published by Springer. This book was released on 2018-08-22 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 24th International Conference on Principles and Practice of Constraint Programming, CP 2018, held in Lille, France, in August 2018.The 41 full and 9 short papers presented in this volume were carefully reviewed and selected from 114 submissions. They deal with all aspects of computing with constraints including theory, algorithms, environments, languages, models, systems, and applications such as decision making, resource allocation, scheduling, configuration, and planning. The papers were organized according to the following topics/tracks: main technical track; applications track; CP and data science; CP and music; CP and operations research; CP, optimization and power system management; multiagent and parallel CP; and testing and verification.

Handbook of Satisfiability

Author : A. Biere
Publisher :
ISBN 13 : 9781643681603
Total Pages : 1484 pages
Book Rating : 4.6/5 (816 download)

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Book Synopsis Handbook of Satisfiability by : A. Biere

Download or read book Handbook of Satisfiability written by A. Biere and published by . This book was released on 2021-05-05 with total page 1484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Propositional logic has been recognized throughout the centuries as one of the cornerstones of reasoning in philosophy and mathematics. Over time, its formalization into Boolean algebra was accompanied by the recognition that a wide range of combinatorial problems can be expressed as propositional satisfiability (SAT) problems. Because of this dual role, SAT developed into a mature, multi-faceted scientific discipline, and from the earliest days of computing a search was underway to discover how to solve SAT problems in an automated fashion.This book, the Handbook of Satisfiability, is the second, updated and revised edition of the book first published in 2009 under the same name. The handbook aims to capture the full breadth and depth of SAT and to bring together significant progress and advances in automated solving. Topics covered span practical and theoretical research on SAT and its applications and include search algorithms, heuristics, analysis of algorithms, hard instances, randomized formulae, problem encodings, industrial applications, solvers, simplifiers, tools, case studies and empirical results. SAT is interpreted in a broad sense, so as well as propositional satisfiability, there are chapters covering the domain of quantified Boolean formulae (QBF), constraints programming techniques (CSP) for word-level problems and their propositional encoding, and satisfiability modulo theories (SMT). An extensive bibliography completes each chapter.This second edition of the handbook will be of interest to researchers, graduate students, final-year undergraduates, and practitioners using or contributing to SAT, and will provide both an inspiration and a rich resource for their work.Edmund Clarke, 2007 ACM Turing Award Recipient: "SAT solving is a key technology for 21st century computer science."Donald Knuth, 1974 ACM Turing Award Recipient:"SAT is evidently a killer app, because it is key to the solution of so many other problems."Stephen Cook, 1982 ACM Turing Award Recipient:"The SAT problem is at the core of arguably the most fundamental question in computer science: What makes a problem hard?"

Principles and Practice of Constraint Programming

Author : Gilles Pesant
Publisher : Springer
ISBN 13 : 3319232193
Total Pages : 765 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Principles and Practice of Constraint Programming by : Gilles Pesant

Download or read book Principles and Practice of Constraint Programming written by Gilles Pesant and published by Springer. This book was released on 2015-08-12 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 21st International Conference on Principles and Practice of Constraint Programming, CP 2015, held in Cork, Ireland, in August/September 2015. This edition of the conference was part of George Boole 200, a celebration of the life and work of George Boole who was born in 1815 and worked at the University College of Cork. It was also co-located with the 31st International Conference on Logic Programming (ICLP 2015). The 48 revised papers presented together with 3 invited talks and 16 abstract papers were carefully selected from numerous submissions. The scope of CP 2014 includes all aspects of computing with constraints, including theory, algorithms, environments, languages, models, systems, and applications such as decision making, resource allocation, schedulling, configuration, and planning.

Principles and Practice of Constraint Programming

Author : Barry O'Sullivan
Publisher : Springer
ISBN 13 : 3319104284
Total Pages : 965 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Principles and Practice of Constraint Programming by : Barry O'Sullivan

Download or read book Principles and Practice of Constraint Programming written by Barry O'Sullivan and published by Springer. This book was released on 2014-08-13 with total page 965 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 20th International Conference on Principles and Practice of Constraint Programming, CP 2014, held in Lyon, France, in September 2014. The 65 revised papers presented together with 4 invited talks were carefully selected from 108 submissions. The scope of CP 2014 includes all aspects of computing with constraints, including theory, algorithms, environments, languages, models, systems, and applications such as decision making, resource allocation, and agreement technologies.

Finding all Solutions to a CNF. The DualSat SAT Solver

Author : Elmar Stellnberger
Publisher : GRIN Verlag
ISBN 13 : 3346419363
Total Pages : 66 pages
Book Rating : 4.3/5 (464 download)

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Book Synopsis Finding all Solutions to a CNF. The DualSat SAT Solver by : Elmar Stellnberger

Download or read book Finding all Solutions to a CNF. The DualSat SAT Solver written by Elmar Stellnberger and published by GRIN Verlag. This book was released on 2021-06-11 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master's Thesis from the year 2020 in the subject Computer Science - Applied, grade: Sehr gut, Klagenfurt University (Institut für Angewandte Informatik), language: English, abstract: DualSAT is a performant new SAT-solver that is optimized to find and output all solutions to an input CNF usable by further processing steps that can follow. Solutions are stored as a number of disjoint solution classes that happen to be in Decomposable Negation Normal Form (DNNF). The solver implements new features like unentangled literal detection and backtracking with stack redo. Unentangled literal detection detects the remaining CNF to be in DNNF while a stack redo saves valuable work on conflict directed backjumps because much of the solver's stack content remains preserved. A combination of conflict dependent and independent heuristics ensures good results for known as well as novel and random CNFs. The dual data structures of DualSAT may also prove beneficial for new techniques with enhanced reasoning.

Integration of Constraint Programming, Artificial Intelligence, and Operations Research

Author : Willem-Jan van Hoeve
Publisher : Springer
ISBN 13 : 3319930311
Total Pages : 637 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Integration of Constraint Programming, Artificial Intelligence, and Operations Research by : Willem-Jan van Hoeve

Download or read book Integration of Constraint Programming, Artificial Intelligence, and Operations Research written by Willem-Jan van Hoeve and published by Springer. This book was released on 2018-06-07 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 15th International Conference on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems, CPAIOR 2018, held in Delft, The Netherlands, in June 2018. The 47 full papers presented together with 3 abstracts of invited talks and 3 abstracts of fast-track journal papers were carefully reviewed and selected from 111 submissions. The conference brings together interested researchers from constraint programming, artificial intelligence, and operations research to present new techniques or applications in the intersection of these fields and provides an opportunity for researchers in one area to learn about techniques in the others, and to show how the integration of techniques from different fields can lead to interesting results on large and complex problems.

Parameterized Complexity in the Polynomial Hierarchy

Author : Ronald de Haan
Publisher : Springer Nature
ISBN 13 : 3662606704
Total Pages : 398 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Parameterized Complexity in the Polynomial Hierarchy by : Ronald de Haan

Download or read book Parameterized Complexity in the Polynomial Hierarchy written by Ronald de Haan and published by Springer Nature. This book was released on 2019-12-30 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parameterized Complexity in the Polynomial Hierarchy was co-recipient of the E.W. Beth Dissertation Prize 2017 for outstanding dissertations in the fields of logic, language, and information. This work extends the theory of parameterized complexity to higher levels of the Polynomial Hierarchy (PH). For problems at higher levels of the PH, a promising solving approach is to develop fixed-parameter tractable reductions to SAT, and to subsequently use a SAT solving algorithm to solve the problem. In this dissertation, a theoretical toolbox is developed that can be used to classify in which cases this is possible. The use of this toolbox is illustrated by applying it to analyze a wide range of problems from various areas of computer science and artificial intelligence.

Satisfiability Problem

Author : Dingzhu Du
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870808
Total Pages : 778 pages
Book Rating : 4.8/5 (78 download)

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Book Synopsis Satisfiability Problem by : Dingzhu Du

Download or read book Satisfiability Problem written by Dingzhu Du and published by American Mathematical Soc.. This book was released on 1997-01-01 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: The satisfiability (SAT) problem is central in mathematical logic, computing theory, and many industrial applications. There has been a strong relationship between the theory, the algorithms, and the applications of the SAT problem. This book aims to bring together work by the best theorists, algorithmists, and practitioners working on the sat problem and on industrial applications, as well as to enhance the interaction between the three research groups. The book features the applications of theoretical/algorithmic results to practical problems and presents practical examples for theoretical/algoritmic study. Major topics covered in the book include practical and industial SAT problems and benchmarks, significant case studies and applications of the SAT problem and SAT algorithms, new algorithms and improved techniques for satisfiability testing, specific data structures and implementation details of the SAT algorithms, and the theoretical study of the SAT problem and SAT algorithms.

Stochastic Local Search

Author : Holger H. Hoos
Publisher : Morgan Kaufmann
ISBN 13 : 1558608729
Total Pages : 678 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Stochastic Local Search by : Holger H. Hoos

Download or read book Stochastic Local Search written by Holger H. Hoos and published by Morgan Kaufmann. This book was released on 2005 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic local search (SLS) algorithms are among the most prominent and successful techniques for solving computationally difficult problems. Offering a systematic treatment of SLS algorithms, this book examines the general concepts and specific instances of SLS algorithms and considers their development, analysis and application.

Extremal Optimization

Author : Yong-Zai Lu
Publisher : CRC Press
ISBN 13 : 1315360071
Total Pages : 278 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Extremal Optimization by : Yong-Zai Lu

Download or read book Extremal Optimization written by Yong-Zai Lu and published by CRC Press. This book was released on 2018-09-03 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extremal Optimization: Fundamentals, Algorithms, and Applications introduces state-of-the-art extremal optimization (EO) and modified EO (MEO) solutions from fundamentals, methodologies, and algorithms to applications based on numerous classic publications and the authors’ recent original research results. It promotes the movement of EO from academic study to practical applications. The book covers four aspects, beginning with a general review of real-world optimization problems and popular solutions with a focus on computational complexity, such as "NP-hard" and the "phase transitions" occurring on the search landscape. Next, it introduces computational extremal dynamics and its applications in EO from principles, mechanisms, and algorithms to the experiments on some benchmark problems such as TSP, spin glass, Max-SAT (maximum satisfiability), and graph partition. It then presents studies on the fundamental features of search dynamics and mechanisms in EO with a focus on self-organized optimization, evolutionary probability distribution, and structure features (e.g., backbones), which are based on the authors’ recent research results. Finally, it discusses applications of EO and MEO in multiobjective optimization, systems modeling, intelligent control, and production scheduling. The authors present the advanced features of EO in solving NP-hard problems through problem formulation, algorithms, and simulation studies on popular benchmarks and industrial applications. They also focus on the development of MEO and its applications. This book can be used as a reference for graduate students, research developers, and practical engineers who work on developing optimization solutions for those complex systems with hardness that cannot be solved with mathematical optimization or other computational intelligence, such as evolutionary computations.

PROCEEDINGS OF THE 20TH CONFERENCE ON FORMAL METHODS IN COMPUTER-AIDED DESIGN – FMCAD 2020

Author : Alexander Ivrii
Publisher : TU Wien Academic Press
ISBN 13 : 3854480423
Total Pages : 284 pages
Book Rating : 4.8/5 (544 download)

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Book Synopsis PROCEEDINGS OF THE 20TH CONFERENCE ON FORMAL METHODS IN COMPUTER-AIDED DESIGN – FMCAD 2020 by : Alexander Ivrii

Download or read book PROCEEDINGS OF THE 20TH CONFERENCE ON FORMAL METHODS IN COMPUTER-AIDED DESIGN – FMCAD 2020 written by Alexander Ivrii and published by TU Wien Academic Press. This book was released on 2020-09-11 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Methods in Computer-Aided Design (FMCAD) is a conference series on the theory and applications of formal methods in hardware and system verification. FMCAD provides a leading forum to researchers in academia and industry for presenting and discussing ground-breaking methods, technologies, theoretical results, and tools for reasoning formally about computing systems. FMCAD covers formal aspects of computer-aided system design including verification, specification, synthesis, and testing.

Tools and Algorithms for the Construction and Analysis of Systems

Author : Jan Friso Groote
Publisher : Springer Nature
ISBN 13 : 3030720136
Total Pages : 465 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Jan Friso Groote

Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Jan Friso Groote and published by Springer Nature. This book was released on 2021-03-22 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access two-volume set constitutes the proceedings of the 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2021, which was held during March 27 – April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The total of 41 full papers presented in the proceedings was carefully reviewed and selected from 141 submissions. The volume also contains 7 tool papers; 6 Tool Demo papers, 9 SV-Comp Competition Papers. The papers are organized in topical sections as follows: Part I: Game Theory; SMT Verification; Probabilities; Timed Systems; Neural Networks; Analysis of Network Communication. Part II: Verification Techniques (not SMT); Case Studies; Proof Generation/Validation; Tool Papers; Tool Demo Papers; SV-Comp Tool Competition Papers.