Computational Logic

Author : Robert S. Boyer,J Strother Moore
Publisher : Academic Press
Page : 414 pages
File Size : 45,5 Mb
Release : 2014-06-25
Category : Mathematics
ISBN : 9781483277882

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A Computational Logic by Robert S. Boyer,J Strother Moore Pdf

ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.

Author : Robert S. Boyer,J Strother Moore
Publisher : Elsevier
Page : 426 pages
File Size : 51,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483277783

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A Computational Logic Handbook by Robert S. Boyer,J Strother Moore Pdf

Perspectives in Computing: A Computational Logic Handbook contains a precise description of the logic and a detailed reference guide to the associated mechanical theorem proving system, including a primer for the logic as a functional programming language, an introduction to proofs in the logic, and a primer for the mechanical theorem. The publication first offers information on a primer for the logic, formalization within the logic, and a precise description of the logic. Discussions focus on induction and recursion, quantification, explicit value terms, dealing with features and omissions, elementary mathematical relationships, Boolean operators, and conventional data structures. The text then takes a look at proving theorems in the logic, mechanized proofs in the logic, and an introduction to the system. The text examines the processes involved in using the theorem prover, four classes of rules generated from lemmas, and aborting or interrupting commands. Topics include executable counterparts, toggle, elimination of irrelevancy, heuristic use of equalities, representation of formulas, type sets, and the crucial check points in a proof attempt. The publication is a vital reference for researchers interested in computational logic.

Author : Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 42,9 Mb
Release : 2011-07-16
Category : Computers
ISBN : 0857298089

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Computational Logic and Set Theory by Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo Pdf

This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.

Author : Ulrich Berger,Helmut Schwichtenberg
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 47,7 Mb
Release : 1999-04-14
Category : Computers
ISBN : 3540645896

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Computational Logic by Ulrich Berger,Helmut Schwichtenberg Pdf

Proceedings of the NATO Advanced Study Institute on Computational Logic, held in Marktoberdorf, Germany, July 29 - August 10, 1997

Author : Narayan Changder
Publisher : CHANGDER OUTLINE
Page : 38 pages
File Size : 47,9 Mb
Release : 2024-03-07
Category : Mathematics
ISBN : 8210379456XXX

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COMPUTATIONAL LOGIC by Narayan Changder Pdf

Decode logical computing with precision using this comprehensive MCQ mastery guide on computational logic. Tailored for students, researchers, and computer scientists, this resource offers a curated selection of practice questions covering key concepts, algorithms, and applications in computational logic. Delve deep into propositional logic, predicate logic, and formal proof systems while enhancing your problem-solving skills. Whether you're preparing for exams or seeking to reinforce your practical knowledge, this guide equips you with the tools needed to excel. Master computational logic and unlock the potential of logical reasoning in computing with confidence using this indispensable resource.

Author : Nils Bulling,Leendert van der Torre,Serena Villata,Wojtek Jamroga,Wamberto Vasconcelos
Publisher : Springer
Page : 199 pages
File Size : 43,8 Mb
Release : 2014-07-21
Category : Computers
ISBN : 9783319097640

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Computational Logic in Multi-Agent Systems by Nils Bulling,Leendert van der Torre,Serena Villata,Wojtek Jamroga,Wamberto Vasconcelos Pdf

This book constitutes the proceedings of the 15th International Workshop on Computational Logic in Multi-Agent Systems, CLIMA XV, held in Prague, Czech Republic, in August 2014. The 12 regular papers were carefully reviewed and selected from 20 submissions. The purpose of the CLIMA workshops is to provide a forum for discussing techniques, based on computational logic, for representing, programming and reasoning about agents and multi-agent systems in a formal way. This edition will feature two special sessions: logics for agreement technologies and logics for games, strategic reasoning, and social choice.

Author : Maurice Bruynooghe,Kung-Kiu Lau
Publisher : Springer
Page : 546 pages
File Size : 52,6 Mb
Release : 2004-06-23
Category : Computers
ISBN : 9783540259510

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Program Development in Computational Logic by Maurice Bruynooghe,Kung-Kiu Lau Pdf

1 The tenth anniversary of the LOPSTR symposium provided the incentive for this volume. LOPSTR started in 1991 as a workshop on logic program synthesis and transformation, but later it broadened its scope to logic-based program development in general, that is, program development in computational logic, and hence the title of this volume. The motivating force behind LOPSTR has been the belief that declarative paradigms such as logic programming are better suited to program development tasks than traditional non-declarative ones such as the imperative paradigm. Speci?cation, synthesis, transformation or specialization, analysis, debugging and veri?cation can all be given logical foundations, thus providing a unifying framework for the whole development process. In the past 10 years or so, such a theoretical framework has indeed begun to emerge. Even tools have been implemented for analysis, veri?cation and speci- ization. However,itisfairtosaythatsofarthefocushaslargelybeenonprogrammi- in-the-small. So the future challenge is to apply or extend these techniques to programming-in-the-large, in order to tackle software engineering in the real world. Returning to this volume, our aim is to present a collection of papers that re?ect signi?cant research e?orts over the past 10 years. These papers cover the wholedevelopmentprocess:speci?cation,synthesis,analysis,transformationand specialization, as well as semantics and systems.

Author : João Leite,Paolo Torroni
Publisher : Springer
Page : 284 pages
File Size : 54,6 Mb
Release : 2005-08-25
Category : Computers
ISBN : 9783540318576

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Computational Logic in Multi-Agent Systems by João Leite,Paolo Torroni Pdf

The notion of agency has recently increased its in?uence in the research and - velopment of computational logic based systems, while at the same time sign- cantly gaining from decades of research in computational logic. Computational logic provides a well-de?ned, general, and rigorous framework for studying s- tax, semantics and procedures, for implementations, environments, tools, and standards, facilitating the ever important link between speci?cation and ver- cation of computational systems. The purpose of the Computational Logic in Multi-agent Systems (CLIMA) international workshop series is to discuss techniques, based on computational logic, for representing, programming, and reasoning about multi-agent systems in a formal way. Former CLIMA editions were conducted in conjunction with other major computational logic and AI events such as CL in July 2000, ICLP in December 2001, FLoC in August 2002, and LPNMR and AI-Math in January 2004. The ?fth edition of CLIMA was held Lisbon, Portugal, in September 29–30, 2004.We,asorganizers,andinagreementwiththeCLIMASteeringCommittee, opted for co-location with the 9th European Conference on Logics in Arti?cial Intelligence (JELIA 2004), wishing to promote the CLIMA research topics in the broader community of logics in AI, a community whose growing interest in multi-agent issues has been demonstrated by the large number of agent-related papers submitted to recent editions of JELIA. The workshop received 35 submissions – a sensible increase from the previous edition.Thesubmittedpapersshowedthatthelogicalfoundationsofmulti-agent systems are felt by a large community to be a very important research topic, upon which classical AI and agent-related issues are to be addressed.

Author : A.C. Kakas,F. Sadri
Publisher : Springer
Page : 684 pages
File Size : 46,6 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540456285

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Computational Logic: Logic Programming and Beyond by A.C. Kakas,F. Sadri Pdf

Alan Robinson This set of essays pays tribute to Bob Kowalski on his 60th birthday, an anniversary which gives his friends and colleagues an excuse to celebrate his career as an original thinker, a charismatic communicator, and a forceful intellectual leader. The logic programming community hereby and herein conveys its respect and thanks to him for his pivotal role in creating and fostering the conceptual paradigm which is its raison d’Œtre. The diversity of interests covered here reflects the variety of Bob’s concerns. Read on. It is an intellectual feast. Before you begin, permit me to send him a brief personal, but public, message: Bob, how right you were, and how wrong I was. I should explain. When Bob arrived in Edinburgh in 1967 resolution was as yet fairly new, having taken several years to become at all widely known. Research groups to investigate various aspects of resolution sprang up at several institutions, the one organized by Bernard Meltzer at Edinburgh University being among the first. For the half-dozen years that Bob was a leading member of Bernard’s group, I was a frequent visitor to it, and I saw a lot of him. We had many discussions about logic, computation, and language.

Author : Jürgen Dix,João Leite
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 48,7 Mb
Release : 2004-12-03
Category : Computers
ISBN : 9783540240105

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Computational Logic in Multi-Agent Systems by Jürgen Dix,João Leite Pdf

This book constitutes the strictly refereed post-proceedings of the 4th International Workshop on Computational Logic for Multi-Agent Systems, CLIMA IV, held in Fort Lauderdale, Fl, USA in January 2004. The 11 revised full papers presented together with 2 invited papers were carefully selected during two rounds of reviewing and improvement. The papers are devoted to techniques from computational logic for representing, programming, and reasoning about multi-agent systems. The papers are organized in topical sections on negotiation in MAS, planning in MAS, knowledge revision and update in MAS, and learning in BDI MAS.

Author : Katsumi Inoue,Ken Satoh,Francesca Toni
Publisher : Springer
Page : 318 pages
File Size : 48,9 Mb
Release : 2007-05-16
Category : Computers
ISBN : 9783540696193

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Computational Logic in Multi-Agent Systems by Katsumi Inoue,Ken Satoh,Francesca Toni Pdf

This book constitutes the thoroughly refereed post-proceedings of the 7th International Workshop on Computational Logic for Multi-Agent Systems, CLIMA VII, held in Hakodate, Japan, in May 2006. It was an associated event of AAMAS 2006, the main international conference on autonomous agents and multi-agent systems. The series of workshops presents current work on application of general and declarative theories.

Author : Domenico Cantone
Publisher : Springer Nature
Page : 280 pages
File Size : 40,8 Mb
Release : 2024-06-10
Category : Electronic
ISBN : 9783031552489

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From Computational Logic to Computational Biology by Domenico Cantone Pdf

Author : Dov M. Gabbay,Jörg H. Siekmann,John Woods
Publisher : Newnes
Page : 736 pages
File Size : 46,5 Mb
Release : 2014-12-09
Category : Mathematics
ISBN : 9780080930671

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Computational Logic by Dov M. Gabbay,Jörg H. Siekmann,John Woods Pdf

Handbook of the History of Logic brings to the development of logic the best in modern techniques of historical and interpretative scholarship. Computational logic was born in the twentieth century and evolved in close symbiosis with the advent of the first electronic computers and the growing importance of computer science, informatics and artificial intelligence. With more than ten thousand people working in research and development of logic and logic-related methods, with several dozen international conferences and several times as many workshops addressing the growing richness and diversity of the field, and with the foundational role and importance these methods now assume in mathematics, computer science, artificial intelligence, cognitive science, linguistics, law and many engineering fields where logic-related techniques are used inter alia to state and settle correctness issues, the field has diversified in ways that even the pure logicians working in the early decades of the twentieth century could have hardly anticipated. Logical calculi, which capture an important aspect of human thought, are now amenable to investigation with mathematical rigour and computational support and fertilized the early dreams of mechanised reasoning: “Calculemus . The Dartmouth Conference in 1956 – generally considered as the birthplace of artificial intelligence – raised explicitly the hopes for the new possibilities that the advent of electronic computing machinery offered: logical statements could now be executed on a machine with all the far-reaching consequences that ultimately led to logic programming, deduction systems for mathematics and engineering, logical design and verification of computer software and hardware, deductive databases and software synthesis as well as logical techniques for analysis in the field of mechanical engineering. This volume covers some of the main subareas of computational logic and its applications. Chapters by leading authorities in the field Provides a forum where philosophers and scientists interact Comprehensive reference source on the history of logic

Author : Michael Fisher,Fariba Sadri,Michael Thielscher
Publisher : Springer
Page : 182 pages
File Size : 42,9 Mb
Release : 2009-08-02
Category : Mathematics
ISBN : 9783642027345

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Computational Logic in Multi-Agent Systems by Michael Fisher,Fariba Sadri,Michael Thielscher Pdf

Multi-Agent Systems are communities of problem-solving entities that can exhibit varying degrees of intelligence. They can perceive and react to their environment, they can have individual or joint goals, for which they can plan and execute actions. Work on such systems integrates many technologies and concepts in artificial intelligence and other areas of computing as well as other disciplines. The agent paradigm has become very popular and widely used in recent years, due to its applicability to a large range of domains, from search engines to educational aids, to electronic commerce and trade, e-procurement, recommendation systems, and ambient intelligence, to cite only some. Computational logic provides a well-defined, general, and rigorous framework for studying syntax, semantics and procedures for various capabilities and functionalities of individual agents, as well as interaction amongst agents in multi-agent systems. It also provides a well-defined and rigorous framework for implementations, envir- ments, tools, and standards, and for linking together specification and verification of properties of individual agents and multi-agent systems.

Author : Leonard Bolc,Andrzej Szałas
Publisher : Routledge
Page : 207 pages
File Size : 45,6 Mb
Release : 2019-10-24
Category : Philosophy
ISBN : 9781000507317

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Time & Logic by Leonard Bolc,Andrzej Szałas Pdf

Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms. The emphasis in the book is on presenting a broad range of approaches to computational applications. The techniques used will also be applicable in many cases to formalisms beyond temporal logic alone, and it is hoped that adaptation to many different logics of program will be facilitated. Throughout, the authors have kept implementation-orientated solutions in mind. The book begins with an introduction to the basic ideas of temporal logic. Successive chapters examine particular aspects of the temporal theoretical computing domain, relating their applications to familiar areas of research, such as stochastic process theory, automata theory, established proof systems, model checking, relational logic and classical predicate logic. This is an essential addition to the library of all theoretical computer scientists. It is an authoritative work which will meet the needs both of those familiar with the field and newcomers to it.