Fork Algebras In Algebra Logic And Computer Science

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Fork Algebras in Algebra, Logic and Computer Science

Author : Marcelo Fabián Frias
Publisher : World Scientific
ISBN 13 : 9814489271
Total Pages : 232 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Fork Algebras in Algebra, Logic and Computer Science by : Marcelo Fabián Frias

Download or read book Fork Algebras in Algebra, Logic and Computer Science written by Marcelo Fabián Frias and published by World Scientific. This book was released on 2002-07-30 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fork algebras are a formalism based on the relational calculus, with interesting algebraic and metalogical properties. Their representability is especially appealing in computer science, since it allows a closer relationship between their language and models. This book gives a careful account of the results and presents some applications of Fork algebras in computer science, particularly in system specification and program construction. Many applications of Fork algebras in formal methods can be applied in many ways, and the book covers all the essentials in order to provide the reader with a better understanding. Contents:Introduction and MotivationsAlgebras of Binary Relations and Relation AlgebrasProper and Abstract Fork AlgebrasRepresentability and IndependenceInterpretability of Classical First-Order LogicAlgebraization of Non-Classical LogicsA Calculus for Program Construction Readership: Graduate students and researchers using relational methods in computer science. Keywords:Reviews:“This book is well organized and written … It is a valuable contribution to the field of relational methods in computer science and should be of interest for students and researchers both in algebraic logic and computer science.”Mathematics Abstracts

Fork Algebras in Algebra, Logic and Computer Science

Author : Marcelo Fabián Frias
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810248765
Total Pages : 217 pages
Book Rating : 4.2/5 (487 download)

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Book Synopsis Fork Algebras in Algebra, Logic and Computer Science by : Marcelo Fabián Frias

Download or read book Fork Algebras in Algebra, Logic and Computer Science written by Marcelo Fabián Frias and published by World Scientific Publishing Company Incorporated. This book was released on 2002-01-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fork algebras are a formalism based on the relational calculus, with interesting algebraic and metalogical properties. Their representability is especially appealing in computer science, since it allows a closer relationship between their language and models. This book gives a careful account of the results and presents some applications of Fork algebras in computer science, particularly in system specification and program construction

Ewa Orłowska on Relational Methods in Logic and Computer Science

Author : Joanna Golińska-Pilarek
Publisher : Springer
ISBN 13 : 3319978799
Total Pages : 502 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Ewa Orłowska on Relational Methods in Logic and Computer Science by : Joanna Golińska-Pilarek

Download or read book Ewa Orłowska on Relational Methods in Logic and Computer Science written by Joanna Golińska-Pilarek and published by Springer. This book was released on 2018-12-08 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Professor Ewa Orłowska, a Polish logician who was celebrating the 60th year of her scientific career in 2017. It offers a collection of contributed papers by different authors and covers the most important areas of her research. Prof. Orłowska made significant contributions to many fields of logic, such as proof theory, algebraic methods in logic and knowledge representation, and her work has been published in 3 monographs and over 100 articles in internationally acclaimed journals and conference proceedings. The book also includes Prof. Orłowska’s autobiography, bibliography and a trialogue between her and the editors of the volume, as well as contributors' biographical notes, and is suitable for scholars and students of logic who are interested in understanding more about Prof. Orłowska’s work.

Advances in Contemporary Logic and Computer Science

Author : Walter Alexandre Carnielli
Publisher : American Mathematical Soc.
ISBN 13 : 0821813641
Total Pages : 344 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Advances in Contemporary Logic and Computer Science by : Walter Alexandre Carnielli

Download or read book Advances in Contemporary Logic and Computer Science written by Walter Alexandre Carnielli and published by American Mathematical Soc.. This book was released on 1999 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings from the Eleventh Brazilian Logic Conference on Mathematical Logic held by the Brazilian Logic Society (co-sponsored by the Centre for Logic, Epistemology and the History of Science, State University of Campinas, São Paolo) in Salvador, Bahia, Brazil. The conference and the volume are dedicated to the memory of professor Mário Tourasse Teixeira, an educator and researcher who contributed to the formation of several generations of Brazilian logicians. Contributions were made from leading Brazilian logicians and their Latin-American and European colleagues. All papers were selected by a careful refereeing processs and were revised and updated by their authors for publication in this volume. There are three sections: Advances in Logic, Advances in Theoretical Computer Science, and Advances in Philosophical Logic. Well-known specialists present original research on several aspects of model theory, proof theory, algebraic logic, category theory, connections between logic and computer science, and topics of philosophical logic of current interest. Topics interweave proof-theoretical, semantical, foundational, and philosophical aspects with algorithmic and algebraic views, offering lively high-level research results.

Relation Algebras by Games

Author : Robin Hirsch
Publisher : Elsevier
ISBN 13 : 0080540457
Total Pages : 711 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Relation Algebras by Games by : Robin Hirsch

Download or read book Relation Algebras by Games written by Robin Hirsch and published by Elsevier. This book was released on 2002-08-15 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relation algebras are algebras arising from the study of binary relations.They form a part of the field of algebraic logic, and have applications in proof theory, modal logic, and computer science. This research text uses combinatorial games to study the fundamental notion of representations of relation algebras. Games allow an intuitive and appealing approach to the subject, and permit substantial advances to be made. The book contains many new results and proofs not published elsewhere. It should be invaluable to graduate students and researchers interested in relation algebras and games. After an introduction describing the authors' perspective on the material, the text proper has six parts. The lengthy first part is devoted to background material, including the formal definitions of relation algebras, cylindric algebras, their basic properties, and some connections between them. Examples are given. Part 1 ends with a short survey of other work beyond the scope of the book. In part 2, games are introduced, and used to axiomatise various classes of algebras. Part 3 discusses approximations to representability, using bases, relation algebra reducts, and relativised representations. Part 4 presents some constructions of relation algebras, including Monk algebras and the 'rainbow construction', and uses them to show that various classes of representable algebras are non-finitely axiomatisable or even non-elementary. Part 5 shows that the representability problem for finite relation algebras is undecidable, and then in contrast proves some finite base property results. Part 6 contains a condensed summary of the book, and a list of problems. There are more than 400 exercises. The book is generally self-contained on relation algebras and on games, and introductory text is scattered throughout. Some familiarity with elementary aspects of first-order logic and set theory is assumed, though many of the definitions are given. Chapter 2 introduces the necessary universal algebra and model theory, and more specific model-theoretic ideas are explained as they arise.

Relational Methods in Computer Science

Author : Harrie C.M. de Swart
Publisher : Springer
ISBN 13 : 3540362800
Total Pages : 318 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Relational Methods in Computer Science by : Harrie C.M. de Swart

Download or read book Relational Methods in Computer Science written by Harrie C.M. de Swart and published by Springer. This book was released on 2003-07-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed joint post-proceedings of the 6th International Conference on Relational Methods in Computer Science, RelMICS 2001 and the 1st Workshop of COST Action 274 TARSKI, Theory and Application of Relational Structures as Knowledge Instruments held in Oisterwijk, The Netherlands, in October 2001. The 20 revised full papers presented together with an invited paper were carefully reviewed and selected. The papers are organized in topical sections on algebraic and logical foundations of real world relations, mechanization of relational reasoning, and relational scaling and preferences.

Relational Methods for Computer Science Applications

Author : Ewa Orlowska
Publisher : Physica
ISBN 13 : 3790818283
Total Pages : 293 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Relational Methods for Computer Science Applications by : Ewa Orlowska

Download or read book Relational Methods for Computer Science Applications written by Ewa Orlowska and published by Physica. This book was released on 2013-11-11 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume addresses all current aspects of relational methods and their applications in computer science. It presents a broad variety of fields and issues in which theories of relations provide conceptual or technical tools. The contributions address such subjects as relational methods in programming, relational constraints, relational methods in linguistics and spatial reasoning, relational modelling of uncertainty. All contributions provide the readers with new and original developments in the respective fields. The reader thus gets an interdisciplinary spectrum of the state of the art of relational methods and implementation-oriented solutions of problems related to these areas.

Logical Foundations of Computer Science

Author : Sergei Artemov
Publisher : Springer
ISBN 13 : 3540926879
Total Pages : 469 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Logical Foundations of Computer Science by : Sergei Artemov

Download or read book Logical Foundations of Computer Science written by Sergei Artemov and published by Springer. This book was released on 2009-02-11 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2009, held in Deerfield Beach, Florida, USA in January 2008. The volume presents 31 revised refereed papers carefully selected by the program committee. All current aspects of logic in computer science are addressed, including constructive mathematics and type theory, logical foundations of programming, logical aspects of computational complexity, logic programming and constraints, automated deduction and interactive theorem proving, logical methods in protocol and program verification and in program specification and extraction, domain theory logics, logical foundations of database theory, equational logic and term rewriting, lambda and combinatory calculi, categorical logic and topological semantics, linear logic, epistemic and temporal logics, intelligent and multiple agent system logics, logics of proof and justification, nonmonotonic reasoning, logic in game theory and social software, logic of hybrid systems, distributed system logics, system design logics, as well as other logics in computer science.

Algebraic Methodology and Software Technology

Author : Armando M. Haeberer
Publisher : Springer
ISBN 13 : 3540492534
Total Pages : 540 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Algebraic Methodology and Software Technology by : Armando M. Haeberer

Download or read book Algebraic Methodology and Software Technology written by Armando M. Haeberer and published by Springer. This book was released on 2003-05-20 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: AMAST’s goal is to advance awareness of algebraic and logical methodology as part of the fundamental basis of software technology. Ten years and seven conferences after the start of the AMAST movement, I believe we are attaining this. The movement has propagated throughout the world, assembling many enthusiastic specialists who have participated not only in the conferences, which are now annual, but also in the innumerable other activities that AMAST promotes and supports. We are now facing the Seventh International Conference on Algebraic Methodology and Software Technology (AMAST’98). The previous meetings were held in Iowa City, USA (1989 and 1991), in Enschede, The Netherlands (1993), in Montreal, Canada (1995), in Munich, Germany (1996), and in Sydney, Australia (1997). This time it is Brazil’s turn, in a very special part of this colorful country – Amazonia. Thus, “if we have done more it is by standing on the shoulders of giants.” The effort started by Teodor Rus, Arthur Fleck, and William A. Kirk at AMAST’89 was consolidated in AMAST'91 by Teodor Rus, Maurice Nivat, Charles Rattray, and Giuseppe Scollo. Then came modular construction of the building, wonderfully carried out by Giuseppe Scollo, Vangalur Alagar, Martin Wirsing, and Michael Johnson, as Program Chairs of the AMAST conferences held between 1993 and 1997.

Relational and Kleene-Algebraic Methods in Computer Science

Author : R. Berghammer
Publisher : Springer
ISBN 13 : 3540247718
Total Pages : 291 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Relational and Kleene-Algebraic Methods in Computer Science by : R. Berghammer

Download or read book Relational and Kleene-Algebraic Methods in Computer Science written by R. Berghammer and published by Springer. This book was released on 2004-05-14 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 7th International Seminar on - lational Methods in Computer Science (RelMiCS 7) and the 2nd International Workshop onApplications ofKleeneAlgebra. Thecommonmeetingtookplacein Bad Malente (near Kiel), Germany, from May May 12-17,2003. Its purpose was to bring together researchers from various subdisciplines of Computer Science, Mathematics and related?elds who use the calculi of relations and/or Kleene algebra as methodological and conceptual tools in their work. This meeting is the joint continuation of two di?erent series of meetings. Previous RelMiCS seminars were held in Schloss Dagstuhl (Germany) in J- uary 1994, Parati (Brazil) in July 1995, Hammamet (Tunisia) in January 1997, Warsaw (Poland) in September 1998, Quebec (Canada) in January 2000, and Oisterwijk (The Netherlands) in October 2001. The?rst workshop on appli- tions of Kleene algebra was also held in Schloss Dagstuhl in February 2001. To join these two events in a common meeting was mainly motivated by the s- stantialcommoninterestsandoverlapofthetwocommunities. Wehopethatthis leads to fruitful interactions and opens new and interesting research directions.

Theoretical Aspects of Computing

Author : Ana Cavalcanti
Publisher : Springer
ISBN 13 : 3642148085
Total Pages : 397 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Theoretical Aspects of Computing by : Ana Cavalcanti

Download or read book Theoretical Aspects of Computing written by Ana Cavalcanti and published by Springer. This book was released on 2010-08-21 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book constitutes the refereed proceedings of the 7th International Colloquium on Theoretical Aspects of Computing, ICTAC 2010 held in Natal, Brazil, in September 2010. The 23 revised full papers presented with 2 invited papers and the abstract of 1 invited talk were carefully reviewed and selected from 68 submissions. The papers address all theoretical aspects and methodological issues of computing and are organized in topical sections on grammars, semantics, modelling, the special track on formal aspects of software testing and grand challenge in verified software, on logics, as well as algorithms and types.

Dynamic Logic. New Trends and Applications

Author : Alexandre Madeira
Publisher : Springer
ISBN 13 : 3319735799
Total Pages : 201 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Dynamic Logic. New Trends and Applications by : Alexandre Madeira

Download or read book Dynamic Logic. New Trends and Applications written by Alexandre Madeira and published by Springer. This book was released on 2017-12-30 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the First International Workshop on Dynamic Logic, DALI 2017, held in Brasilia, Brazil, in September 2017. Both its theoretical relevance and practical potential make Dynamic Logic a topic of interest in a number of scientific venues, from wide-scope software engineering conferences to modal logic specific events. The workshop is promoted by an R&D project on dynamic logics for cyber-physical systems. The 12 full papers presented in this volume were carefully reviewed and selected from 25 submissions. The workshop is based on the project DaLí – Dynamic logics for cyber-physical systems: towards contract based design.

Handbook of Logic in Computer Science: Volume 5. Algebraic and Logical Structures

Author : S. Abramsky
Publisher : OUP Oxford
ISBN 13 : 0191546275
Total Pages : 556 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Handbook of Logic in Computer Science: Volume 5. Algebraic and Logical Structures by : S. Abramsky

Download or read book Handbook of Logic in Computer Science: Volume 5. Algebraic and Logical Structures written by S. Abramsky and published by OUP Oxford. This book was released on 2001-01-25 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook volume covers fundamental topics of semantics in logic and computation. The chapters (some monographic in length), were written following years of co-ordination and follow a thematic point of view. The volume brings the reader up to front line research, and is indispensable to any serious worker in the areas.

Relational and Algebraic Methods in Computer Science

Author : Peter Höfner
Publisher : Springer
ISBN 13 : 3319062514
Total Pages : 463 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Relational and Algebraic Methods in Computer Science by : Peter Höfner

Download or read book Relational and Algebraic Methods in Computer Science written by Peter Höfner and published by Springer. This book was released on 2014-04-08 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2014 held in Marienstatt, Germany, in April/May 2014. The 25 revised full papers presented were carefully selected from 37 submissions. The papers are structured in specific fields on concurrent Kleene algebras and related formalisms, reasoning about computations and programs, heterogeneous and categorical approaches, applications of relational and algebraic methods and developments related to modal logics and lattices.

Advanced Topics in Relation Algebras

Author : Steven Givant
Publisher : Springer
ISBN 13 : 3319659456
Total Pages : 605 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Advanced Topics in Relation Algebras by : Steven Givant

Download or read book Advanced Topics in Relation Algebras written by Steven Givant and published by Springer. This book was released on 2017-08-29 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical results of the past few decades. Such material offers an ideal preparation for research in relation algebras and Boolean algebras with operators. Arranged in a modular fashion, this text offers the opportunity to explore any of several areas in detail; topics include canonical extensions, completions, representations, varieties, and atom structures. Each chapter offers a complete account of one such avenue of development, including a historical section and substantial number of exercises. The clarity of exposition and comprehensive nature of each module make this an ideal text for the independent reader entering the field, while researchers will value it as a reference for years to come. Collecting, curating, and illuminating over 75 years of progress since Tarski's seminal work in 1941, this textbook in two volumes offers a landmark, unified treatment of the increasingly relevant field of relation algebras. Clear and insightful prose guides the reader through material previously only available in scattered, highly-technical journal articles. Students and experts alike will appreciate the work as both a textbook and invaluable reference for the community. Note that this volume contains numerous, essential references to the previous volume, Introduction to Relation Algebras. The reader is strongly encouraged to secure at least electronic access to the first book in order to make use of the second.

Relations: Concrete, Abstract, And Applied - An Introduction

Author : Herbert Toth
Publisher : World Scientific
ISBN 13 : 9811220360
Total Pages : 573 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Relations: Concrete, Abstract, And Applied - An Introduction by : Herbert Toth

Download or read book Relations: Concrete, Abstract, And Applied - An Introduction written by Herbert Toth and published by World Scientific. This book was released on 2020-06-22 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended as an invitation to the topic of relations on a rather general basis. It fills the gap between the basic knowledge offered in countless introductory papers and books (usually comprising orders and equivalences) and the highly specialized monographs on mainly relation algebras, many-valued (fuzzy) relations, or graphs. This is done not only by presenting theoretical results but also by giving hints to some of the many interesting application areas (also including their respective theoretical basics).This book is a new — and the first of its kind — compilation of known results on binary relations. It offers relational concepts in both reasonable depth and broadness, and also provides insight into the vast diversity of theoretical results as well as application possibilities beyond the commonly known examples.This book is unique by the spectrum of the topics it handles. As indicated in its title these are:

Introduction to Relation Algebras

Author : Steven Givant
Publisher : Springer
ISBN 13 : 3319652354
Total Pages : 572 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Introduction to Relation Algebras by : Steven Givant

Download or read book Introduction to Relation Algebras written by Steven Givant and published by Springer. This book was released on 2017-08-29 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in Relation Algebras; computer scientists, philosophers, and beyond will be equipped to apply these tools in their own field. The careful presentation establishes first the arithmetic of relation algebras, providing ample motivation and examples, then proceeds primarily on the basis of algebraic constructions: subalgebras, homomorphisms, quotient algebras, and direct products. Each chapter ends with a historical section and a substantial number of exercises. The only formal prerequisite is a background in abstract algebra and some mathematical maturity, though the reader will also benefit from familiarity with Boolean algebra and naïve set theory. The measured pace and outstanding clarity are particularly suited to independent study, and provide an unparalleled opportunity to learn from one of the leading authorities in the field. Collecting, curating, and illuminating over 75 years of progress since Tarski's seminal work in 1941, this textbook in two volumes offers a landmark, unified treatment of the increasingly relevant field of relation algebras. Clear and insightful prose guides the reader through material previously only available in scattered, highly-technical journal articles. Students and experts alike will appreciate the work as both a textbook and invaluable reference for the community.