TY - BOOK AU - Mundici,Daniele TI - Logic: a brief course SN - 9788847023604 U1 - 004.015113 22 PY - 2012/// CY - New York PB - Springer. KW - Bisimulation KW - Coinduction (Mathematics) KW - Modality (Logic) KW - Induction (Mathematics) KW - Computer science KW - COMPUTERS / Networking / General KW - bisacsh N1 - Includes bibliographical references and index N2 - "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"-- ER -