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  3. Advanced Topics in Bisimulation and Coinduction
  • Cited by 49
  • Edited by Davide Sangiorgi, University of Bologna, Italy, Jan Rutten, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
Publisher:
Cambridge University Press
Online publication date:
November 2011
Print publication year:
2011
Online ISBN:
9780511792588
DOI:
https://doi.org/10.1017/CBO9780511792588
Subjects:
Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Distributed, Networked and Mobile Computing, Programming Languages and Applied Logic
Series:
Cambridge Tracts in Theoretical Computer Science (52)
Information

Book description

Coinduction is a method for specifying and reasoning about infinite data types and automata with infinite behaviour. In recent years, it has come to play an ever more important role in the theory of computing. It is studied in many disciplines, including process theory and concurrency, modal logic and automata theory. Typically, coinductive proofs demonstrate the equivalence of two objects by constructing a suitable bisimulation relation between them. This collection of surveys is aimed at both researchers and Master's students in computer science and mathematics and deals with various aspects of bisimulation and coinduction, with an emphasis on process theory. Seven chapters cover the following topics: history, algebra and coalgebra, algorithmics, logic, higher-order languages, enhancements of the bisimulation proof method, and probabilities. Exercises are also included to help the reader master new material.

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