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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 : 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 : E. Bevers
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (897 download)
Download or read book Proof by Consistency in Conditional Equational Theories written by E. Bevers and published by . This book was released on 1989 with total page 36 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 : Nachum Dershowitz
Publisher : Springer Science & Business Media
ISBN 13 : 9783540603818
Total Pages : 392 pages
Book Rating : 4.6/5 (38 download)
Download or read book Conditional and Typed Rewriting Systems written by Nachum Dershowitz and published by Springer Science & Business Media. This book was released on 1995-09-22 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents throroughly revised full versions of the 21 papers accepted for the Fourth International Workshop on Conditional and Typed Rewriting Systems, CTRS-94, held in conjunction with ICALP '94 in Jerusalem, Israel, in July 1994. The volume reports the research advances in the area of rewriting in general achieved since the predecessor workshop held in July 1992. Among the topics addressed are conditional term rewriting, typed systems, higher-order rewriting, graph rewriting, combinator-based languages, and constrained rewriting.
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 : 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 : 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 : Marek Kuczma
Publisher : Springer Science & Business Media
ISBN 13 : 3764387491
Total Pages : 595 pages
Book Rating : 4.7/5 (643 download)
Download or read book An Introduction to the Theory of Functional Equations and Inequalities written by Marek Kuczma and published by Springer Science & Business Media. This book was released on 2009-03-12 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death. Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers. He is considered to be the founder of the celebrated Polish school of functional equations and inequalities. "The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality [...], in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality [...]. Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)
Author : Steffen Hölldobler
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (945 download)
Download or read book Conditional equational theories and complete sets of transformation written by Steffen Hölldobler and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : Michael Rusinowitch
Publisher : Springer Science & Business Media
ISBN 13 : 9783540563938
Total Pages : 520 pages
Book Rating : 4.5/5 (639 download)
Download or read book Conditional Term Rewriting Systems written by Michael Rusinowitch and published by Springer Science & Business Media. This book was released on 1993-01-29 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers preesented at the Third International Workshop on Conditional Term Rewriting Systems, held in Pont- -Mousson, France, July 8-10, 1992. Topics covered include conditional rewriting and its applications to programming languages, specification languages, automated deduction, constrained rewriting, typed rewriting, higher-order rewriting, and graph rewriting. The volume contains 40 papers, including four invited talks: Algebraic semantics of rewriting terms and types, by K. Meinke; Generic induction proofs, by P. Padawitz; Conditional term rewriting and first-order theorem proving, by D. Plaisted; and Decidability of finiteness properties (abstract), by L. Pacholski. The first CTRS workshop was held at the University of Paris in 1987 and the second at Concordia University, Montreal, in 1990. Their proceddings are published as Lecture Notes in Computer Science Volumes 308 and 516 respectively.
Author : C. Neville Dean
Publisher : Morgan Kaufmann
ISBN 13 : 9780123490407
Total Pages : 316 pages
Book Rating : 4.4/5 (94 download)
Download or read book Teaching and Learning Formal Methods written by C. Neville Dean and published by Morgan Kaufmann. This book was released on 1996-09-17 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: As computer systems continue to advance, the positions they hold in human society continue to gain power. Computers now control the flight of aircraft, the cooling systems in chemical plants, and feedback loops in nuclear reactors. Because of the vital roles these systems play, there has been growing concern about the reliability and safety of these advanced computers. Formal methods are now widely recognized as the most successful means of assuring the reliability of complex computer systems. Because formal methods are being mandated in more and more international standards, it is critical that engineers, managers, and industrial project leaders are well trained and conversant in the application of these methods. This book covers a broad range of issues relating to the pedagogy of formal methods. The contributors, all acknowledged experts, have based their contributions on extensive experiences teaching and applying formal methods in both academia and industry.The two editors, both well known in this area, propose various techniques that can help to dismiss myths that formal methods are difficult to use and hard to learn. Teaching and Learning Formal Methods will be an indispensable text for educators in the fields of computer science, mathematics, software engineering, and electronic engineering as well as to management and product leaders concerned with trainingrecent graduates. Offers proven methods for teaching formal methods, even to students who lack a strong background in mathematics Addresses the important role that formal methods play in society and considers their growing future potential Includes contributions from several pioneers in the area Features a foreword written by Edsger W. Dijkstra
