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Author : John Harrison
Publisher : Cambridge University Press
Page : 703 pages
File Size : 55,7 Mb
Release : 2009-03-12
Category : Computers
ISBN : 9780521899574
A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.
Author : Alan J.A. Robinson,Andrei Voronkov
Publisher : Elsevier
Page : 2128 pages
File Size : 46,5 Mb
Release : 2001-06-22
Category : Computers
ISBN : 9780080532790
Handbook of Automated Reasoning
Author : Hans Kleine Büning,Theodor Lettmann
Publisher : Cambridge University Press
Page : 432 pages
File Size : 48,8 Mb
Release : 1999-08-28
Category : Computers
ISBN : 0521630177
This account of propositional logic concentrates on the algorithmic translation of important methods, especially of decision procedures for (subclasses of) propositional logic. Important classical results and a series of new results taken from the fields of normal forms, satisfiability and deduction methods are arranged in a uniform and complete theoretic framework. The algorithms presented can be applied to VLSI design, deductive databases and other areas. After introducing the subject the authors discuss satisfiability problems and satisfiability algorithms with complexity considerations, the resolution calculus with different refinements, and special features and procedures for Horn formulas. Then, a selection of further calculi and some results on the complexity of proof procedures are presented. The last chapter is devoted to quantified boolean formulas. The algorithmic approach will make this book attractive to computer scientists and graduate students in areas such as automated reasoning, logic programming, complexity theory and pure and applied logic.
Author : Alan Robinson,Andrei Voronkov
Publisher : Unknown
Page : 2122 pages
File Size : 46,9 Mb
Release : 2001
Category : Automatic theorem proving
ISBN : 0444508139
Author : Linda G. Hayes
Publisher : Software Testing Institute
Page : 185 pages
File Size : 44,7 Mb
Release : 2004
Category : Computer software
ISBN : 9780970746504
Author : Jean H. Gallier
Publisher : Courier Dover Publications
Page : 532 pages
File Size : 54,5 Mb
Release : 2015-06-18
Category : Mathematics
ISBN : 9780486780825
This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.
Author : Rob Nederpelt,Herman Geuvers
Publisher : Cambridge University Press
Page : 465 pages
File Size : 40,7 Mb
Release : 2014-11-06
Category : Computers
ISBN : 9781107036505
A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.
Author : Jonathan Kirby
Publisher : Cambridge University Press
Page : 197 pages
File Size : 53,6 Mb
Release : 2019-04-18
Category : Mathematics
ISBN : 9781107163881
An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.
Author : A. Biere,H. van Maaren
Publisher : IOS Press
Page : 1486 pages
File Size : 53,7 Mb
Release : 2021-05-05
Category : Computers
ISBN : 9781643681610
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?"
Author : Alan J.A. Robinson,Andrei Voronkov
Publisher : North Holland
Page : 0 pages
File Size : 46,8 Mb
Release : 2001-06-21
Category : Computers
ISBN : 0444829490
Author : Frank van Harmelen,Vladimir Lifschitz,Bruce Porter
Publisher : Elsevier
Page : 1034 pages
File Size : 45,7 Mb
Release : 2008-01-08
Category : Computers
ISBN : 0080557023
Handbook of Knowledge Representation describes the essential foundations of Knowledge Representation, which lies at the core of Artificial Intelligence (AI). The book provides an up-to-date review of twenty-five key topics in knowledge representation, written by the leaders of each field. It includes a tutorial background and cutting-edge developments, as well as applications of Knowledge Representation in a variety of AI systems. This handbook is organized into three parts. Part I deals with general methods in Knowledge Representation and reasoning and covers such topics as classical logic in Knowledge Representation; satisfiability solvers; description logics; constraint programming; conceptual graphs; nonmonotonic reasoning; model-based problem solving; and Bayesian networks. Part II focuses on classes of knowledge and specialized representations, with chapters on temporal representation and reasoning; spatial and physical reasoning; reasoning about knowledge and belief; temporal action logics; and nonmonotonic causal logic. Part III discusses Knowledge Representation in applications such as question answering; the semantic web; automated planning; cognitive robotics; multi-agent systems; and knowledge engineering. This book is an essential resource for graduate students, researchers, and practitioners in knowledge representation and AI. * Make your computer smarter * Handle qualitative and uncertain information * Improve computational tractability to solve your problems easily
Author : Franz Baader,Ian Horrocks,Carsten Lutz,Uli Sattler
Publisher : Cambridge University Press
Page : 264 pages
File Size : 48,7 Mb
Release : 2017-04-20
Category : Business & Economics
ISBN : 9780521873611
The first introductory textbook on description logics, relevant to computer science, knowledge representation and the semantic web.
Author : Michael Fisher
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 50,8 Mb
Release : 2011-03-16
Category : Technology & Engineering
ISBN : 1119991463
The name "temporal logic" may sound complex and daunting; but while they describe potentially complex scenarios, temporal logics are often based on a few simple, and fundamental, concepts - highlighted in this book. An Introduction to Practical Formal Methods Using Temporal Logic provides an introduction to formal methods based on temporal logic, for developing and testing complex computational systems. These methods are supported by many well-developed tools, techniques and results that can be applied to a wide range of systems. Fisher begins with a full introduction to the subject, covering the basics of temporal logic and using a variety of examples, exercises and pointers to more advanced work to help clarify and illustrate the topics discussed. He goes on to describe how this logic can be used to specify a variety of computational systems, looking at issues of linking specifications, concurrency, communication and composition ability. He then analyses temporal specification techniques such as deductive verification, algorithmic verification, and direct execution to develop and verify computational systems. The final chapter on case studies analyses the potential problems that can occur in a range of engineering applications in the areas of robotics, railway signalling, hardware design, ubiquitous computing, intelligent agents, and information security, and explains how temporal logic can improve their accuracy and reliability. Models temporal notions and uses them to analyze computational systems Provides a broad approach to temporal logic across many formal methods - including specification, verification and implementation Introduces and explains freely available tools based on temporal logics and shows how these can be applied Presents exercises and pointers to further study in each chapter, as well as an accompanying website providing links to additional systems based upon temporal logic as well as additional material related to the book.
Author : Adam Chlipala
Publisher : MIT Press
Page : 437 pages
File Size : 47,6 Mb
Release : 2013-12-06
Category : Computers
ISBN : 9780262317887
A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.
Author : Nakamatsu Kazumi,Jain Lakhmi C
Publisher : World Scientific
Page : 680 pages
File Size : 48,8 Mb
Release : 2013-01-18
Category : Computers
ISBN : 9789814489164
This book consists of various contributions in conjunction with the keywords “reasoning” and “intelligent systems”, which widely covers theoretical to practical aspects of intelligent systems. Therefore, it is suitable for researchers or graduate students who want to study intelligent systems generally.