Introduction to Coalgebra: Towards Mathematics of States and Observation - Couverture rigide

Jacobs, Bart

Couverture rigide

ISBN 10 : 1107177898 ISBN 13 : 9781107177895

Editeur : Cambridge University Press, 2016

Synopsis

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.

A propos du livre

À propos de l'auteur

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.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 1107177898
• ISBN 13: 9781107177895
• Reliure: Relié
• Nombre de pages: 494
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France