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Author : Clifford H. Bergman
Publisher : Springer
ISBN 13 : 9780387972886
Total Pages : 292 pages
Book Rating : 4.89/5 ( download)
Download or read book Algebraic Logic and Universal Algebra in Computer Science written by Clifford H. Bergman and published by Springer. This book was released on 2000-11-13 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Clifford H. Bergman
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.46/5 ( download)
Download or read book Algebraic Logic and Universal Algebra in Computer Science written by Clifford H. Bergman and published by . This book was released on 1990 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus Denecke
Publisher : CRC Press
ISBN 13 : 1482285835
Total Pages : 396 pages
Book Rating : 4.33/5 ( download)
Download or read book Universal Algebra and Applications in Theoretical Computer Science written by Klaus Denecke and published by CRC Press. This book was released on 2018-10-03 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 20 years, the emergence of clone theory, hyperequational theory, commutator theory and tame congruence theory has led to a growth of universal algebra both in richness and in applications, especially in computer science. Yet most of the classic books on the subject are long out of print and, to date, no other book has integrated these theories with the long-established work that supports them. Universal Algebra and Applications in Theoretical Computer Science introduces the basic concepts of universal algebra and surveys some of the newer developments in the field. The first half of the book provides a solid grounding in the core material. A leisurely pace, careful exposition, numerous examples, and exercises combine to form an introduction to the subject ideal for beginning graduate students or researchers from other areas. The second half of the book focuses on applications in theoretical computer science and advanced topics, including Mal'cev conditions, tame congruence theory, clones, and commutators. The impact of the advances in universal algebra on computer science is just beginning to be realized, and the field will undoubtedly continue to grow and mature. Universal Algebra and Applications in Theoretical Computer Science forms an outstanding text and offers a unique opportunity to build the foundation needed for further developments in its theory and in its computer science applications.
Author : Janusz Czelakowski
Publisher : Springer
ISBN 13 : 331974772X
Total Pages : 454 pages
Book Rating : 4.29/5 ( download)
Download or read book Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science written by Janusz Czelakowski and published by Springer. This book was released on 2018-03-20 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
Author : Clifford H. Bergman
Publisher :
ISBN 13 : 9783540972884
Total Pages : 292 pages
Book Rating : 4.89/5 ( download)
Download or read book Proceedings written by Clifford H. Bergman and published by . This book was released on 1990 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Wechler
Publisher : Springer Science & Business Media
ISBN 13 : 3642767710
Total Pages : 345 pages
Book Rating : 4.15/5 ( download)
Download or read book Universal Algebra for Computer Scientists written by Wolfgang Wechler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new model-theoretic approach to universal algebra is offered in this book. Written for computer scientists, it presents a systematic development of the methods and results of universal algebra that are useful in a variety of applications in computer science. The notation is simple and the concepts are clearly presented. The book concerns the algebraic characterization of axiomatic classes of algebras (equational, implicational, and universal Horn classes) by closure operators generalizing the famous Birkhoff Variety Theorem, and the algebraic characterization of the related theories. The book also presents a thorough study of term rewriting systems. Besides basic notions, the Knuth-Bendix completion procedure and termination proof methods are considered. A third main topic is that of fixpoint techniques and complete ordered algebras. Algebraic specifications of abstract data types and algebraic semantics of recursive program schemes are treated as applications. The book is self-contained and suitable both as a textbook for graduate courses and as a reference for researchers.
Author : Klaus Denecke
Publisher : World Scientific
ISBN 13 : 9812837450
Total Pages : 291 pages
Book Rating : 4.55/5 ( download)
Download or read book Universal Algebra and Coalgebra written by Klaus Denecke and published by World Scientific. This book was released on 2009 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to study the structures needed to model objects in universal algebra, universal coalgebra and theoretical computer science. Universal algebra is used to describe different kinds of algebraic structures, while coalgebras are used to model state-based machines in computer science.The connection between algebras and coalgebras provides a way to connect static data-oriented systems with dynamical behavior-oriented systems. Algebras are used to describe data types and coalgebras describe abstract systems or machines.The book presents a clear overview of the area, from which further study may proceed.
Author : Ivo G. Rosenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9401706972
Total Pages : 565 pages
Book Rating : 4.71/5 ( download)
Download or read book Algebras and Orders written by Ivo G. Rosenberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties.
Author : J. Michael Dunn
Publisher : OUP Oxford
ISBN 13 : 0191589225
Total Pages : 490 pages
Book Rating : 4.25/5 ( download)
Download or read book Algebraic Methods in Philosophical Logic written by J. Michael Dunn and published by OUP Oxford. This book was released on 2001-06-28 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily for logisticians in mathematics, philosophy, computer science and linguistics with an interest in algebraic logic, but is also accessible to those from a non-logistics background. It is suitable for researchers, graduates and advanced undergraduates who have an introductory knowledge of algebraic logic providing more advanced concepts, as well as more theoretical aspects. The main theme is that standard algebraic results (representations) translate into standard logical results (completeness). Other themes involve identification of a class of algebras appropriate for classical and non-classical logic studies, including: gaggles, distributoids, partial- gaggles, and tonoids. An imporatant sub title is that logic is fundamentally information based, with its main elements being propositions, that can be understood as sets of information states. Logics are considered in various senses e.g. systems of theorems, consequence relations and, symmetric consequence relations.
Author : Davide Fazio
Publisher : Springer Nature
ISBN 13 : 303052163X
Total Pages : 193 pages
Book Rating : 4.39/5 ( download)
Download or read book Algebraic Perspectives on Substructural Logics written by Davide Fazio and published by Springer Nature. This book was released on 2020-11-07 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the state of the art in the algebraic investigation into substructural logics. It features papers from the workshop AsubL (Algebra & Substructural Logics - Take 6). Held at the University of Cagliari, Italy, this event is part of the framework of the Horizon 2020 Project SYSMICS: SYntax meets Semantics: Methods, Interactions, and Connections in Substructural logics. Substructural logics are usually formulated as Gentzen systems that lack one or more structural rules. They have been intensively studied over the past two decades by logicians of various persuasions. These researchers include mathematicians, philosophers, linguists, and computer scientists. Substructural logics are applicable to the mathematical investigation of such processes as resource-conscious reasoning, approximate reasoning, type-theoretical grammar, and other focal notions in computer science. They also apply to epistemology, economics, and linguistics. The recourse to algebraic methods -- or, better, the fecund interplay of algebra and proof theory -- has proved useful in providing a unifying framework for these investigations. The AsubL series of conferences, in particular, has played an important role in these developments. This collection will appeal to students and researchers with an interest in substructural logics, abstract algebraic logic, residuated lattices, proof theory, universal algebra, and logical semantics.
