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

By Davide Sangiorgi, Jan Rutten

Coinduction is a technique for specifying and reasoning approximately countless info forms and automata with limitless behaviour. in recent times, it has come to play an ever extra vital position within the conception of computing. it truly is studied in lots of disciplines, together with technique idea and concurrency, modal common sense and automata idea. often, coinductive proofs show the equivalence of 2 items by means of developing an appropriate bisimulation relation among them. This number of surveys is geared toward either researchers and Master's scholars in machine technological know-how and arithmetic and offers with numerous features of bisimulation and coinduction, with an emphasis on procedure thought. Seven chapters hide the subsequent issues: heritage, algebra and coalgebra, algorithmics, common sense, higher-order languages, improvements of the bisimulation evidence procedure, and chances. workouts also are incorporated 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 technique (Damien Pous and Davide Sangiorgi) — 7. Probabilistic bisimulation (Prakash Panangaden)

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Tho93] W. Thomas. On the Ehrenfeucht–Fra¨ıss´e game in theoretical computer science. -C. -P. Jouannaud, editors, TAPSOFT, volume 668 of Lecture Notes in Computer Science, pages 559–568. Springer, 1993. [Zer08] E. Zermelo. Untersuchungen u¨ ber die Grundlagen der Mengenlehre I. Mathematische Annalen, 65:261–281, 1908. English translation, ‘Investigations in the foundations of set theory’, in [HE67], pages 199–215. 1 Introduction Algebra is a well-established part of mathematics, dealing with sets with operations satisfying certain properties, like groups, rings, vector spaces, etc.

On the Ehrenfeucht–Fra¨ıss´e game in theoretical computer science. -C. -P. Jouannaud, editors, TAPSOFT, volume 668 of Lecture Notes in Computer Science, pages 559–568. Springer, 1993. [Zer08] E. Zermelo. Untersuchungen u¨ ber die Grundlagen der Mengenlehre I. Mathematische Annalen, 65:261–281, 1908. English translation, ‘Investigations in the foundations of set theory’, in [HE67], pages 199–215. 1 Introduction Algebra is a well-established part of mathematics, dealing with sets with operations satisfying certain properties, like groups, rings, vector spaces, etc.

Springer, 1979. [HE67] J. van Heijenoort, editor. From Frege to G¨odel: A Source Book in Mathematical Logic 1879–1931. Harvard University Press, 1967. [Hin80] R. Hinnion. Contraction de structures et application a` NFU. Comptes Rendus Acad´emie des Sciences de Paris, S´er. A 290:677–680, 1980. [Hin81] R. Hinnion. Extensional quotients of structures and applications to the study of the axiom of extensionality. Bulletin de la Soci´et´e Math´ematique de Belgique, XXXIII (Fas. II, S´er. B):173–206, 1981.

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