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Author : G. Sivakumar
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (31 download)
Download or read book Proofs and Computations in Conditional Equational Theories written by G. Sivakumar and published by . This book was released on 1989 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xavier Caicedo
Publisher : CRC Press
ISBN 13 : 1000657302
Total Pages : 471 pages
Book Rating : 4.0/5 (6 download)
Download or read book Models, Algebras, and Proofs written by Xavier Caicedo and published by CRC Press. This book was released on 2021-02-27 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains a balanced account of recent advances in set theory, model theory, algebraic logic, and proof theory, originally presented at the Tenth Latin American Symposium on Mathematical Logic held in Bogata, Columbia. Traces new interactions among logic, mathematics, and computer science. Features original research from over 30 well-known experts.
Author : Peter Padawitz
Publisher : Springer Science & Business Media
ISBN 13 : 3642738249
Total Pages : 328 pages
Book Rating : 4.6/5 (427 download)
Download or read book Computing in Horn Clause Theories written by Peter Padawitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: At least four research fields detennine the theoretical background of specification and deduction in computer science: recursion theory, automated theorem proving, abstract data types and tenn rewriting systems. As these areas approach each other more and more, the strong distinctions between functional and relational views, deductive and denotational approaches as well as between specification and programming are relieved in favour of their integration. The book will not expose the lines of this development; conversely, it starts out from the nucleus of Hom clause logic and brings forth both known and unknown results, most of which affect more than one of the fields mentioned above. Chapter 1 touches on historical issues of specification and prototyping and delimits the topics handled in this book from others which are at the core of related work. Chapter 2 provides the fundamental notions and notations needed for the presentation and interpretation of many-sorted Horn clause theories with equality. Chapter 3 supplies a number of sample Hom clause specifications ranging from arithmetic through string manipulation to higher data structures and interpreters of programming languages. Some of these examples serve as a reference to illustrate definitions and results, others may throw a light on the strong link between specifications and programs, which are executed by applying deduction rules. Thus we have included examples of how to use program trans/ormation methods in specification design.
Author : Helene Kirchner
Publisher : Springer Science & Business Media
ISBN 13 : 9783540531623
Total Pages : 402 pages
Book Rating : 4.5/5 (316 download)
Download or read book Algebraic and Logic Programming written by Helene Kirchner and published by Springer Science & Business Media. This book was released on 1990-09-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers presented at the Second International Conference on Algebraic and Logic Programming in Nancy, France, October 1-3, 1990.
Author : Bachmair
Publisher : Springer Science & Business Media
ISBN 13 : 146847118X
Total Pages : 142 pages
Book Rating : 4.4/5 (684 download)
Download or read book Canonical Equational Proofs written by Bachmair and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations occur in many computer applications, such as symbolic compu tation, functional programming, abstract data type specifications, program verification, program synthesis, and automated theorem proving. Rewrite systems are directed equations used to compute by replacing subterms in a given formula by equal terms until a simplest form possible, called a normal form, is obtained. The theory of rewriting is concerned with the compu tation of normal forms. We shall study the use of rewrite techniques for reasoning about equations. Reasoning about equations may, for instance, involve deciding whether an equation is a logical consequence of a given set of equational axioms. Convergent rewrite systems are those for which the rewriting process de fines unique normal forms. They can be thought of as non-deterministic functional programs and provide reasonably efficient decision procedures for the underlying equational theories. The Knuth-Bendix completion method provides a means of testing for convergence and can often be used to con struct convergent rewrite systems from non-convergent ones. We develop a proof-theoretic framework for studying completion and related rewrite based proof procedures. We shall view theorem provers as proof transformation procedures, so as to express their essential properties as proof normalization theorems.
Author : Klaus Mainzer
Publisher : World Scientific
ISBN 13 : 9811236496
Total Pages : 425 pages
Book Rating : 4.8/5 (112 download)
Download or read book Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification written by Klaus Mainzer and published by World Scientific. This book was released on 2021-07-27 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes proof theory, constructive mathematics and type theory, univalent mathematics and point-free approaches to topology, extraction of certified programs from proofs, automated proofs in the automotive industry, as well as the philosophical and historical background of proof theory. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.
Author : Stephane Kaplan
Publisher : Springer Science & Business Media
ISBN 13 : 9783540543176
Total Pages : 500 pages
Book Rating : 4.5/5 (431 download)
Download or read book Conditional and Typed Rewriting Systems written by Stephane Kaplan and published by Springer Science & Business Media. This book was released on 1991-08-07 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, extensions of rewriting techniques that go beyond the traditional untyped algebraic rewriting framework have been investigated and developed. Among these extensions, conditional and typed systems are particularly important, as are higher-order systems, graph rewriting systems, etc. The international CTRS (Conditional and Typed Rewriting Systems) workshops are intended to offer a forum for researchers on such extensions of rewriting techniques. This volume presents the proceedings of the second CTRS workshop, which contributed to discussion and evaluation of new directions of research. (The proceedings of the first CTRS workshop are in Lecture Notes in Computer Science, Vol. 308.) Several important directions for extensions of rewriting techniques were stressed, which are reflected in the organization of the chapters in this volume: - Theory of conditional and Horn clause systems, - Infinite terms, non-terminating systems, and termination, - Extension of Knuth-Bendix completion, - Combined systems, combined languages and modularity, - Architecture, compilers and parallel computation, - Basic frameworks for typed and order-sorted systems, - Extension of unification and narrowing techniques.
Author : Dieter Hutter
Publisher : Springer
ISBN 13 : 354032254X
Total Pages : 573 pages
Book Rating : 4.5/5 (43 download)
Download or read book Mechanizing Mathematical Reasoning written by Dieter Hutter and published by Springer. This book was released on 2011-03-29 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: By presenting state-of-the-art results in logical reasoning and formal methods in the context of artificial intelligence and AI applications, this book commemorates the 60th birthday of Jörg H. Siekmann. The 30 revised reviewed papers are written by former and current students and colleagues of Jörg Siekmann; also included is an appraisal of the scientific career of Jörg Siekmann entitled "A Portrait of a Scientist: Logics, AI, and Politics." The papers are organized in four parts on logic and deduction, applications of logic, formal methods and security, and agents and planning.
Author : Zoltan Esik
Publisher : Springer Science & Business Media
ISBN 13 : 9783540571636
Total Pages : 488 pages
Book Rating : 4.5/5 (716 download)
Download or read book Fundamentals of Computation Theory written by Zoltan Esik and published by Springer Science & Business Media. This book was released on 1993-08-04 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Ninth Conference on Fundamentalsof Computation Theory (FCT 93) held in Szeged, Hungary, in August 1993. The conference was devoted to a broad range of topics including: - Semanticsand logical concepts in the theory of computing and formal specification - Automata and formal languages - Computational geometry, algorithmic aspects of algebra and algebraic geometry, cryptography - Complexity (sequential, parallel, distributed computing, structure, lower bounds, complexity of analytical problems, general concepts) - Algorithms (efficient, probabilistic, parallel, sequential, distributed) - Counting and combinatorics in connection with mathematical computer science The volume contains the texts of 8 invitedlectures and 32 short communications selected by the international program committee from a large number of submitted papers.
Author : Nachum Dershowitz
Publisher : Springer Science & Business Media
ISBN 13 : 9783540510819
Total Pages : 598 pages
Book Rating : 4.5/5 (18 download)
Download or read book Rewriting Techniques and Applications written by Nachum Dershowitz and published by Springer Science & Business Media. This book was released on 1989 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rewriting has always played an important role in symbolic manipulation and automated deduction systems. The theory of rewriting is an outgrowth of Combinatory Logic and the Lambda Calculus. Applications cover broad areas in automated reasoning, programming language design, semantics, and implementations, and symbolic and algebraic manipulation. The proceedings of the third International Conference on Rewriting Techniques and Applications contain 34 regular papers, covering many diverse aspects of rewriting (including equational logic, decidability questions, term rewriting, congruence-class rewriting, string rewriting, conditional rewriting, graph rewriting, functional and logic programming languages, lazy and parallel implementations, termination issues, compilation techniques, completion procedures, unification and matching algorithms, deductive and inductive theorem proving, Gröbner bases, and program synthesis). It also contains 12 descriptions of implemented equational reasoning systems. Anyone interested in the latest advances in this fast growing area should read this volume.
Author : Helmut Schwichtenberg
Publisher : Springer Science & Business Media
ISBN 13 : 3642793614
Total Pages : 478 pages
Book Rating : 4.6/5 (427 download)
Download or read book Proof and Computation written by Helmut Schwichtenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical concepts and methods are of growing importance in many areas of computer science. The proofs-as-programs paradigm and the wide acceptance of Prolog show this clearly. The logical notion of a formal proof in various constructive systems can be viewed as a very explicit way to describe a computation procedure. Also conversely, the development of logical systems has been influenced by accumulating knowledge on rewriting and unification techniques. This volume contains a series of lectures by leading researchers giving a presentation of new ideas on the impact of the concept of a formal proof on computation theory. The subjects covered are: specification and abstract data types, proving techniques, constructive methods, linear logic, and concurrency and logic.
Author : Martin Aigner
Publisher : Springer Science & Business Media
ISBN 13 : 3662223430
Total Pages : 194 pages
Book Rating : 4.6/5 (622 download)
Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Author : Hubert Comon-Lundh
Publisher : Springer Science & Business Media
ISBN 13 : 3540731466
Total Pages : 287 pages
Book Rating : 4.5/5 (47 download)
Download or read book Rewriting, Computation and Proof written by Hubert Comon-Lundh and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jean-Pierre Jouannaud has played a leading role in the field of rewriting and its technology. This Festschrift volume, published to honor him on his 60th Birthday, includes 13 refereed papers by leading researchers, current and former colleagues. The papers are grouped in thematic sections on Rewriting Foundations, Proof and Computation, and a final section entitled Towards Safety and Security.
Author : André Platzer
Publisher : Springer Nature
ISBN 13 : 3030798763
Total Pages : 655 pages
Book Rating : 4.0/5 (37 download)
Download or read book Automated Deduction - CADE 28 written by André Platzer and published by Springer Nature. This book was released on 2021 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book constitutes the proceeding of the 28th International Conference on Automated Deduction, CADE 28, held virtually in July 2021. The 29 full papers and 7 system descriptions presented together with 2 invited papers were carefully reviewed and selected from 76 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations, and practical experience. The papers are organized in the following topics: Logical foundations; theory and principles; implementation and application; ATP and AI; and system descriptions.
Author : Alfonso Miola
Publisher : Springer Science & Business Media
ISBN 13 : 9783540525318
Total Pages : 300 pages
Book Rating : 4.5/5 (253 download)
Download or read book Design and Implementation of Symbolic Computation Systems written by Alfonso Miola and published by Springer Science & Business Media. This book was released on 1990-03-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing importance of the systems for symbolic computation has greatly influenced the decision of organizing DISCO '90 which is short for International Symposium on Design and Implementation of Symbolic Computation Systems. DISCO '90 focuses mainly on the most innovative methodological and technological aspects of hardware and software system design and implementation for Symbolic and Algebraic Computation, Automated Reasoning, Software Environments (Languages and User Interfaces), and Automatic Programming. In particular, it includes papers on the design and the development of significant running systems. The general objective of DISCO '90 is to present an up-to-date view of the field, while encouraging the scientific exchange among academic, industrial and user communities of the development of systems for symbolic computation.
Author : Hubert Comon
Publisher : Springer Science & Business Media
ISBN 13 : 9783540593409
Total Pages : 236 pages
Book Rating : 4.5/5 (934 download)
Download or read book Term Rewriting written by Hubert Comon and published by Springer Science & Business Media. This book was released on 1995-04-25 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains thoroughly revised versions of the contributions presented at the French Spring School of Theoretical Computer Science, held in Font Romeu, France in May 1993. This seminar was devoted to rewriting in a broad sense, as rewriting is now an important discipline, relating to many other areas such as formal languages, models of concurrency, tree automata, functional programming languages, constraints, symbolic computation, and automated deduction. The book includes a number of surveys contributed by senior researchers as well as a few papers presenting original research of relevance for the broader theoretical computer science community.
Author : Dov M. Gabbay
Publisher : Newnes
ISBN 13 : 0080930670
Total Pages : 737 pages
Book Rating : 4.0/5 (89 download)
Download or read book Computational Logic written by Dov M. Gabbay and published by Newnes. This book was released on 2014-12-09 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
