Universal Algebra for Computer Scientists - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Universal Algebra for Computer Scientists write by Wolfgang Wechler. This book was released on 2012-12-06. Universal Algebra for Computer Scientists available in PDF, EPUB and Kindle. 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.
Universal Algebra and Applications in Theoretical Computer Science
Universal Algebra and Applications in Theoretical Computer Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Universal Algebra and Applications in Theoretical Computer Science write by Klaus Denecke. This book was released on 2018-10-03. Universal Algebra and Applications in Theoretical Computer Science available in PDF, EPUB and Kindle. 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.
Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science
Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science write by Janusz Czelakowski. This book was released on 2018-03-20. Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science available in PDF, EPUB and Kindle. 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.
Universal Algebra
Universal Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Universal Algebra write by George Grätzer. This book was released on 2008-12-15. Universal Algebra available in PDF, EPUB and Kindle. Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.
Universal Algebra and Coalgebra
Universal Algebra and Coalgebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Universal Algebra and Coalgebra write by Klaus Denecke. This book was released on 2009. Universal Algebra and Coalgebra available in PDF, EPUB and Kindle. 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.
