By Davide Sangiorgi, Jan Rutten
Coinduction is a technique for specifying and reasoning approximately countless info kinds and automata with limitless behaviour. lately, it has come to play an ever extra very important function within the thought of computing. it truly is studied in lots of disciplines, together with procedure idea and concurrency, modal common sense and automata conception. normally, coinductive proofs show the equivalence of 2 gadgets by means of developing an appropriate bisimulation relation among them. This number of surveys is aimed toward either researchers and Master's scholars in laptop technological know-how and arithmetic and offers with a variety of facets of bisimulation and coinduction, with an emphasis on approach idea. Seven chapters disguise the subsequent subject matters: heritage, algebra and coalgebra, algorithmics, good judgment, higher-order languages, improvements of the bisimulation facts strategy, and possibilities. workouts also are integrated to aid 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 technique for higher-order languages (Andrew Pitts) — 6. improvements of the bisimulation facts procedure (Damien Pous and Davide Sangiorgi) — 7. Probabilistic bisimulation (Prakash Panangaden)
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Extra resources for Advanced Topics in Bisimulation and Coinduction
Ginzburg. Algebraic Theory of Automata. Academic Press, 1968. J. van Glabbeek. The linear time-branching time spectrum (extended abstract). M. W. Klop, editors, First Conference on Concurrency Theory (CONCUR’90), volume 458 of Lecture Notes in Computer Science, pages 278–297. Springer, 1990. J. van Glabbeek. The linear time–branching time spectrum II (the semantics of sequential systems with silent moves). In E. Best, editor, Fourth Conference on Concurrency Theory (CONCUR’93), volume 715, pages 66–81.
Mathematical logic as based on the theory of types. American Journal of Mathematics, 30:222–262, 1908. Also in [HE67], pages 153–168. [RW13] B. N. Whitehead. Principia Mathematica, 3 vols. Cambridge University Press, 1910, 1912, 1913. [San09] D. Sangiorgi. On the origins of bisimulation and coinduction. ACM Transactions on Programming Languages and Systems, 31(4), 2009. [San12] D. Sangiorgi. An Introduction to Bisimulation and Coinduction. Cambridge University Press, 2012. [Sco60] D. Scott. A different kind of model for set theory.
Memo 14, Computers and Logic Research Group, University College of Swansea, UK, 1970. [Mil71a] R. Milner. Program simulation: an extended formal notion. Memo 17, Computers and Logic Research Group, University College of Swansea, UK, 1971. [Mil71b] R. Milner. An algebraic definition of simulation between programs. In Proceedings of the 2nd International Joint Conferences on Artificial Intelligence. British Computer Society, London, 1971. [Mil80] R. Milner. A Calculus of Communicating Systems, volume 92 of Lecture Notes in Computer Science.