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Product Details
From the back cover: "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, non-well-founded sets, and so on.
"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 epressing processes (such as process calculi) and to the associated techniques of operational and algebraic analysis."
NOTE: British spelling.
BRIEF CONTENTS
Following the List of Illustrations, Preface, and General Introduction:
Towards bisimulation
Coinduction and the duality with induction
Algebraic properties of bisimilarity
Processes with internal activities
Other approaches to behavioural equivalences
Refinements of simulation
Basic observables
The book concludes with Appendix A: Solutions to selected exercises; List of Notation; References; and Index.
