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A duration calculus with infinite intervals

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Book cover Fundamentals of Computation Theory (FCT 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 965))

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Abstract

This paper introduces infinite intervals into the Duration Calculus [33]. The extended calculus defines a state duration over an infinite interval by a property which specifies the limit of the state duration over finite intervals, and excludes the description operator. Thus the calculus can be established without involvement of unpleasant calculation of infinity. With limits of state durations, one can treat conventional liveness and fairness, and can also measure liveness and fairness through properties of limits. Including both finite and infinite intervals, the calculus can, in a simple manner, distinguish between terminating behaviour and nonterminating behaviour, and therefore directly specify and reason about sequentiality.

On leave of absence from the Software Institute, Academia Sinica

On leave of absence from the Institute of Information Technology of Vietnam

On leave of absence from the Software Institute, Academia Sinica

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Authors and Affiliations

  1. UNU/IIST, P.O. Box 3058, Macau

    Zhou Chaochen, Dang Van Hung & Li Xiaoshan

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  1. Zhou Chaochen
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  2. Dang Van Hung
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  3. Li Xiaoshan
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Horst Reichel

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© 1995 Springer-Verlag Berlin Heidelberg

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Chaochen, Z., Van Hung, D., Xiaoshan, L. (1995). A duration calculus with infinite intervals. In: Reichel, H. (eds) Fundamentals of Computation Theory. FCT 1995. Lecture Notes in Computer Science, vol 965. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60249-6_39

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  • DOI: https://doi.org/10.1007/3-540-60249-6_39

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  • Print ISBN: 978-3-540-60249-1

  • Online ISBN: 978-3-540-44770-2

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