Categories, Allegories - 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 Categories, Allegories write by P.J. Freyd. This book was released on 1990-11-08. Categories, Allegories available in PDF, EPUB and Kindle. General concepts and methods that occur throughout mathematics – and now also in theoretical computer science – are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further. The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint functors, and topoi. A special feature of the work is a general calculus of relations presented in the second part. This calculus offers another, often more amenable framework for concepts and methods discussed in part one. Some aspects of this approach find their origin in the relational calculi of Peirce and Schroeder from the last century, and in the 1940's in the work of Tarski and others on relational algebras. The representation theorems discussed are an original feature of this approach.
Categories, Allegories
Categories, Allegories - 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 Categories, Allegories write by Peter J. Freyd. This book was released on 1990. Categories, Allegories available in PDF, EPUB and Kindle.
Relational and Kleene-Algebraic Methods in Computer Science
Relational and Kleene-Algebraic Methods in 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 Relational and Kleene-Algebraic Methods in Computer Science write by R. Berghammer. This book was released on 2004-06-01. Relational and Kleene-Algebraic Methods in Computer Science available in PDF, EPUB and Kindle. This book constitutes the thoroughly refereed joint postproceedings of the 7th International Seminar on Relational Methods in Computer Science and the 2nd International Workshop on Applications of Kleene Algebra held in Bad Malente, Germany in May 2003. The 21 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers address foundational and methodological aspects of the calculi of relations and Kleene algebra as well as applications of such methods in various areas of computer science and information processing.
Goguen Categories
Goguen Categories - 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 Goguen Categories write by Michael Winter. This book was released on 2007-08-14. Goguen Categories available in PDF, EPUB and Kindle. Goguen categories extend the relational calculus and its categorical formalization to the fuzzy world. Starting from the fundamental concepts of sets, binary relations and lattices, this book introduces several categorical formulations of an abstract theory of relations such as allegories, Dedekind categories and related structures. It is shown that neither theory is sufficiently rich to describe basic operations on fuzzy relations.
Relational and Algebraic Methods in Computer Science
Relational and Algebraic Methods in 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 Relational and Algebraic Methods in Computer Science write by Wolfram Kahl. This book was released on 2015-09-24. Relational and Algebraic Methods in Computer Science available in PDF, EPUB and Kindle. This book constitutes the proceedings of the 15th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2015, held in Braga, Portugal, in September/October 2015. The 20 revised full papers and 3 invited papers presented were carefully selected from 25 submissions. The papers deal with the theory of relation algebras and Kleene algebras, process algebras; fixed point calculi; idempotent semirings; quantales, allegories, and dynamic algebras; cylindric algebras, and about their application in areas such as verification, analysis and development of programs and algorithms, algebraic approaches to logics of programs, modal and dynamic logics, interval and temporal logics.
