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A Theory of Duration Calculus with Application

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Book cover Domain Modeling and the Duration Calculus

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4710))

Abstract

In this chapter we will present selected central elements in the theory of Duration Calculus and we will give examples of applications. The chapter will cover syntax, semantics and proof system for the basic logic. Furthermore, results on decidability, undecidability and model-checking will be presented. A few extensions of the basic calculus will be described, in particular, Hybrid Duration Calculus and Duration Calculus with iterations. Furthermore, a case study: the bi-phase mark protocol, is presented. We will not attempt to be exhaustive in our coverage of topics; but we will provide references for further study.

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Authors and Affiliations

  1. Informatics and Math. Modelling, Technical University of Denmark, Ricard Petersens Plads, DK-2800 Lyngby, Denmark

    Michael Reichhardt Hansen

  2. United Nations University, Institute of Software Technology, Casa Silva Mendes, Est. do Engenheiro Trigo No. 4, Macao,  

    Dang Van Hung

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  1. Michael Reichhardt Hansen
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  2. Dang Van Hung
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Chris W. George Zhiming Liu Jim Woodcock

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Hansen, M.R., Van Hung, D. (2007). A Theory of Duration Calculus with Application. In: George, C.W., Liu, Z., Woodcock, J. (eds) Domain Modeling and the Duration Calculus. Lecture Notes in Computer Science, vol 4710. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74964-6_3

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  • DOI: https://doi.org/10.1007/978-3-540-74964-6_3

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