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International Colloquium on Theoretical Aspects of Computing

ICTAC 2004: Theoretical Aspects of Computing - ICTAC 2004 pp 463–477Cite as

A Calculus for Shapes in Time and Space

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3407))

Abstract

We present a spatial and temporal logic based on Duration Calculus for the specification and verification of mobile real-time systems. We demonstrate the use of the formalism and apply it to a case study. We extend a pure Duration Calculus specification for the controller by spatial assumptions to reason about spatial system properties. We prove that the formalism is undecidable in general for discrete and continuous domains and present a decidable fragment.

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Author information

Authors and Affiliations

  1. Department of Computing Science, University of Oldenburg, 26111, Oldenburg, Germany

    Andreas Schäfer

Authors
  1. Andreas Schäfer
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Editor information

Editors and Affiliations

  1. International Institute of Software Technology, United Nations University, Macau, China

    Zhiming Liu

  2. Department of Computer Science and Communication Engineering, Graduate School of Information Science and Electrical Engineering, Kyushu University, 6-10-1-Hakozaki, Higashi-ku, 812-8581, Fukuoka, Japan

    Keijiro Araki

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© 2005 Springer-Verlag Berlin Heidelberg

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Schäfer, A. (2005). A Calculus for Shapes in Time and Space. In: Liu, Z., Araki, K. (eds) Theoretical Aspects of Computing - ICTAC 2004. ICTAC 2004. Lecture Notes in Computer Science, vol 3407. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31862-0_33

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  • DOI: https://doi.org/10.1007/978-3-540-31862-0_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25304-4

  • Online ISBN: 978-3-540-31862-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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