Advanced Topics in Bisimulation and Coinduction by Davide Sangiorgi, Jan Rutten

By Davide Sangiorgi, Jan Rutten

Coinduction is a technique for specifying and reasoning approximately limitless information varieties and automata with countless behaviour. in recent times, it has come to play an ever extra very important position within the idea of computing. it really is studied in lots of disciplines, together with technique concept and concurrency, modal good judgment and automata idea. in most cases, coinductive proofs display the equivalence of 2 gadgets via developing an appropriate bisimulation relation among them. This number of surveys is aimed toward either researchers and Master's scholars in machine technological know-how and arithmetic and bargains with a variety of features of bisimulation and coinduction, with an emphasis on method conception. Seven chapters conceal the subsequent issues: historical past, algebra and coalgebra, algorithmics, common sense, higher-order languages, improvements of the bisimulation facts strategy, and percentages. routines also are incorporated to assist the reader grasp new material.

Contents: 1. Origins of bisimulation and coinduction (Davide Sangiorgi) — 2. An creation to (co)algebra and (co)induction (Bart Jacobs and Jan Rutten) — three. The algorithmics of bisimilarity (Luca Aceto, Anna Ingolfsdottir and Jiří Srba) — four. Bisimulation and good judgment (Colin Stirling) — five. Howe’s procedure for higher-order languages (Andrew Pitts) — 6. improvements of the bisimulation evidence technique (Damien Pous and Davide Sangiorgi) — 7. Probabilistic bisimulation (Prakash Panangaden)

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