Advanced Topics in Bisimulation and Coinduction
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| Title: | Advanced Topics in Bisimulation and Coinduction |
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| 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) |
| 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. |
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| ISBN: | 9781107004979 9781139161398 |