This comprehensive text provides a modern and technically precise exposition of the fundamental theory and applications of temporal logics in computer science. Part I presents the basics of discrete transition systems, including constructions and behavioural equivalences. Part II examines the most important temporal logics for transition systems and Part III looks at their expressiveness and complexity. Finally, Part IV describes the main computational methods and decision procedures for model checking and model building - based on tableaux, automata and games - and discusses their relationships. The book contains a wealth of examples and exercises, as well as an extensive annotated bibliography. Thus, the book is not only a solid professional reference for researchers in the field but also a comprehensive graduate textbook that can be used for self-study as well as for teaching courses.

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St�phane Demri is a CNRS directeur de recherche at the Laboratoire Sp�cification et V�rification (LSV), Ecole Normale Sup�rieure de Cachan, and he is currently the head of LSV. His current research interests include verification of infinite-state systems, temporal logics and analysis of systems with data. He has participated in numerous international and national projects and has been co-responsible for bilateral projects with Poland, South Africa and Australia. He is regularly involved in teaching, in program committees, in steering committees and in editorial boards. He has co-authored more than 125 publications in the field of formal/logical methods for analysing computer systems, including a monograph, 4 edited proceedings, 6 book chapters and 50 articles in international journals.

Valentin Goranko is currently a professor of logic and theoretical philosophy at Stockholm University. He has more than 30 years of university teaching and research experience in mathematics, computer science and philosophy in universities in Bulgaria, South Africa, Denmark and Sweden. His main expertise and research interests are in theory and applications of modal and temporal logics to computer science, artificial intelligence, multiagent systems and philosophy. He has authored and co-authored more than 100 publications, including two recent textbooks on logic and discrete mathematics. He is a member of several editorial boards and steering bodies of professional organisations and is currently the vice-president of the Association for Logic, Language and Information (FoLLI).

Martin Lange is currently a professor in theoretical computer science at the University of Kassel, Germany. His research interests include model checking and general decision procedures for logics in computer science with a focus on temporal logics. He has published more than 80 papers in international journals and conference proceedings. He received an ERC Starting Grant in 2010 and a Heisenberg professorship from the German Research Council in 2013.

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Temporal Logics in Computer Science: Finite-State Systems (Cambridge Tracts in Theoretical Computer Science)

Demri, St�phane; Goranko, Valentin; Lange, Martin

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