Advanced topics in bisimulation and coinduction / edited by Davide Sangiorgi, Jan Rutten.

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Series: Cambridge tracts in theoretical computer science ; 52.Publisher: Cambridge : Cambridge University Press, 2012Description: 1 online resource (xiii, 326 pages) : digital, PDF file(s)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780511792588 (ebook)

Other title:

Advanced Topics in Bisimulation & Coinduction

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Genre/Form:

Electronic books.

Additional physical formats: Print version: : No titleDDC classification:

004.01/5113 23

LOC classification:

QA76.9.A96 S365 2012

Online resources:

Click here to access online

Contents:

1. Origins of bisimulation and coinduction / Davide Sangiorgi -- 2. An introduction to (co)algebra and (co)induction / Bart Jacobs and Jan Rutten -- 3. The algorithmics of bisimilarity / Luca Aceto, Anna Ingolfsdottir and Jiři; Srba -- 4. Bisimulation and logic / Colin Stirling -- 5. Howe's method for higher-order languages / Andrew Pitts -- 6. Enhancements of the bisimulation proof method / Damien Pous and Davide Sangiorgi -- 7. Probabilistic bisimulation / Prakash Panangaden.

Summary: 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.

Item type:

eBooks

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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.