Advanced Topics in Bisimulation and Coinduction

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Bibliographic Details
Title: Advanced Topics in Bisimulation and Coinduction
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.
Authors: Davide Sangiorgi, Jan Rutten
Resource Type: eBook.
Subjects: Computer science--Philosophy, Computer simulation, Digital computer simulation
Categories: COMPUTERS / Information Technology, COMPUTERS / Computer Literacy, COMPUTERS / Computer Science, COMPUTERS / Data Science / General, COMPUTERS / Machine Theory, COMPUTERS / Reference, COMPUTERS / Hardware / General
Database: eBook Collection (EBSCOhost)
Description
Abstract: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.
ISBN:9781107004979
9781139161398