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Duration Calculus: A Formal Approach to Real-Time Systems

Duration Calculus: A Formal Approach to Real-Time Systems

Paperback

Series: Monographs in Theoretical Computer Science. an Eatcs

General MathematicsProgramming

ISBN10: 3642074049
ISBN13: 9783642074042
Publisher: Springer
Published: Dec 9 2010
Pages: 250
Weight: 0.82
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English

A comprehensive introduction to interval logic and duration calculus for modelling, analysing and verifying real-time systems. The Duration Calculus (DC) represents a logical approach to formal design of real-time systems. In DC real numbers are used to model time and Boolean-valued (i.e. {0,1}-valued) functions over time to model states of real-time systems. The duration of a state in a time interval is the accumulated presence time of the state in the interval. DC extends interval logic to a calculus to specify and reason about properties of state durations. The text covers theory (completeness, decidability, undecidability, model-checking), results, as well as case studies (Deadline Driven Scheduler).

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General Mathematics