An introduction to bisimulation and coinduction [EBook] / Davide Sangiorgi.
An introduction to bisimulation and coinduction [EBook] / Davide Sangiorgi.
Induction is a pervasive tool in computer science and mathematics for defining objects and reasoning on them. Coinduction is the dual of induction and as such it brings in quite different tools. Today, it is widely used in computer science, but also in other fields, including artificial intelligence...
Personal Name(s):  Sangiorgi, Davide, (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2012

Physical Description: 
1 online resource (xii, 247 pages) 
Note: 
englisch 
ISBN: 
9781107003637 9780511777110 
Subject (LOC):  
Full Text 
Induction is a pervasive tool in computer science and mathematics for defining objects and reasoning on them. Coinduction is the dual of induction and as such it brings in quite different tools. Today, it is widely used in computer science, but also in other fields, including artificial intelligence, cognitive science, mathematics, modal logics, philosophy and physics. The best known instance of coinduction is bisimulation, mainly employed to define and prove equalities among potentially infinite objects: processes, streams, nonwellfounded sets, etc. This book presents bisimulation and coinduction: the fundamental concepts and techniques and the duality with induction. Each chapter contains exercises and selected solutions, enabling students to connect theory with practice. A special emphasis is placed on bisimulation as a behavioural equivalence for processes. Thus the book serves as an introduction to models for expressing processes (such as process calculi) and to the associated techniques of operational and algebraic analysis. 