Duration Calculus

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Real-time systems are systems in which temporal properties areessential for reliability and correctness. Examples of systems wherecorrectness and reliability are important for safety reasons includecontrol systems for cars, trains and air planes. In devices such aswashing machines, DVD players and mobile phones the correctness andreliability of the embedded real-time computing systems are importantfor economical reasons as it is expensive to repair errors after theproduction phase. Duration Calculus is an interval logic having special features forexpressing and analysing time durations of states in real-timesystems.  Duration Calculus represents a formal approach to thedevelopment of real-time systems, where requirements and designs canbe expressed and reasoned about at an appropriate level ofabstraction. This book presents the logical foundations of Duration Calculus in acoherent and thorough manner and through selective case studies itexpains how Durations Calculus can be applied to formal specificationand verification of real-time systems. The book also contains anextensive survey of the research on Duration Calculus. Material included in the book has been used for M.Sc. andPh.D. courses, but the book is also valuable for experiencedresearchers and professionals.