Bart Jacobs: Introduction to Coalgebra | Buch

Cover: 9781107177895 | Introduction to Coalgebra | Bart Jacobs | Buch | Englisch | 2017

Rückseite: 9781107177895 | Introduction to Coalgebra | Bart Jacobs | Buch | Englisch | 2017

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Sprache: Englisch

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Beschreibung

The area of coalgebra has emerged within theoretical computer science with a unifying claim: to be the mathematics of computational dynamics. It combines ideas from the theory of dynamical systems and from the theory of state-based computation. Although still in its infancy, it is an active area of research that generates wide interest. Written by one of the founders of the field, this book acts as the first mature and accessible introduction to coalgebra. It provides clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. The theory is expressed in the language of category theory, which provides the right abstraction to make the similarity and duality between algebra and coalgebra explicit, and which the reader is introduced to in a hands-on manner. The book will be useful to mathematicians and (theoretical) computer scientists and will also be of interest to mathematical physicists, biologists and economists.

Über den Autor

Bart Jacobs is Professor of Software and Security Correctness at Radboud University Nijmegen, the Netherlands. His work has been supported by prestigious grants such as the Pionier grant from the Netherlands Organisation for Scientific Research and the Advanced Investigator Grant from the European Research Council. Professor Jacobs is a member of Academia Europaea.

Inhaltsverzeichnis

1. Motivation; 2. Coalgebras of polynomial functors; 3. Bisimulations; 4. Logic, lifting and finality; 5. Monads, comonads and distributive laws; 6. Invariants and assertions; References; Definition and symbol index; Subject index.

Erscheinungsjahr:	2017
Fachbereich:	Grundlagen
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9781107177895
ISBN-10:	1107177898
Sprache:	Englisch
Einband:	Gebunden
Autor:	Jacobs, Bart
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 157 x 31 mm
Von/Mit:	Bart Jacobs
Erscheinungsdatum:	20.04.2017
Gewicht:	0,859 kg