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...

Duration calculus constitutes a formal approach to the development of real-time systems; as an interval logic with special features for expressing and analyzing time durations of states in real-time systems, it allows for representing and formally reasoning about requirements and designs at an appropriate level of abstraction.

This book presents the logical foundations of duration calculus in a coherent and thorough manner. Through selective case studies it explains how duration calculus can be applied to the formal specification and verification of real-time systems. The book also...