Proofs and Computations in Conditional Equational Theories

Proofs and Computations in Conditional Equational Theories

Author: G. Sivakumar

Publisher:

Published: 1989

Total Pages: 88

ISBN-13:

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Book Synopsis Proofs and Computations in Conditional Equational Theories by : G. Sivakumar

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:


Conditional and Typed Rewriting Systems

Conditional and Typed Rewriting Systems

Author: Stephane Kaplan

Publisher: Springer Science & Business Media

Published: 1991-08-07

Total Pages: 500

ISBN-13: 9783540543176

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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.


Book Synopsis Conditional and Typed Rewriting Systems by : Stephane Kaplan

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.


Conditional and Typed Rewriting Systems

Conditional and Typed Rewriting Systems

Author: Nachum Dershowitz

Publisher: Springer Science & Business Media

Published: 1995-09-22

Total Pages: 392

ISBN-13: 9783540603818

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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.


Book Synopsis Conditional and Typed Rewriting Systems by : Nachum Dershowitz

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.


Algebraic and Logic Programming

Algebraic and Logic Programming

Author: Helene Kirchner

Publisher: Springer Science & Business Media

Published: 1990-09-20

Total Pages: 402

ISBN-13: 9783540531623

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This volume consists of papers presented at the Second International Conference on Algebraic and Logic Programming in Nancy, France, October 1-3, 1990.


Book Synopsis Algebraic and Logic Programming by : Helene Kirchner

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.


Computing in Horn Clause Theories

Computing in Horn Clause Theories

Author: Peter Padawitz

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 328

ISBN-13: 3642738249

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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.


Book Synopsis Computing in Horn Clause Theories by : Peter Padawitz

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.


Models, Algebras, and Proofs

Models, Algebras, and Proofs

Author: Xavier Caicedo

Publisher: CRC Press

Published: 2021-02-28

Total Pages: 470

ISBN-13: 1000657302

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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.


Book Synopsis Models, Algebras, and Proofs by : Xavier Caicedo

Download or read book Models, Algebras, and Proofs written by Xavier Caicedo and published by CRC Press. This book was released on 2021-02-28 with total page 470 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.


Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification

Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification

Author: Klaus Mainzer

Publisher: World Scientific

Published: 2021-07-27

Total Pages: 425

ISBN-13: 9811236496

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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.


Book Synopsis Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification by : Klaus Mainzer

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.


Rewriting Techniques and Applications

Rewriting Techniques and Applications

Author: Nachum Dershowitz

Publisher: Springer Science & Business Media

Published: 1989

Total Pages: 598

ISBN-13: 9783540510819

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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.


Book Synopsis Rewriting Techniques and Applications by : Nachum Dershowitz

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.


Fundamentals of Computation Theory

Fundamentals of Computation Theory

Author: Zoltan Esik

Publisher: Springer Science & Business Media

Published: 1993-08-04

Total Pages: 488

ISBN-13: 9783540571636

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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.


Book Synopsis Fundamentals of Computation Theory by : Zoltan Esik

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.


Mechanizing Mathematical Reasoning

Mechanizing Mathematical Reasoning

Author: Dieter Hutter

Publisher: Springer

Published: 2011-03-29

Total Pages: 573

ISBN-13: 354032254X

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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.


Book Synopsis Mechanizing Mathematical Reasoning by : Dieter Hutter

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.