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NASA Formal Methods Symposium

NFM 2015: NASA Formal Methods pp 158–172Cite as

Reachability Analysis Using Extremal Rates

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Part of the Lecture Notes in Computer Science book series (LNPSE,volume 9058)

Abstract

General hybrid systems can be difficult to verify due to their generality. To reduce the complexity, one often specializes to hybrid systems where the complexity is more manageable. If one reduces the modeling formalism to ones where the continuous variables have a single rate, then it may be possible to use the methods of zones to find the reachable state space. Zones are a restricted class of polyhedra formed by considering the intersections of half-planes defined by two variable constraints. Due to their simplicity, zones have simpler, more efficient methods of manipulation than more general polyhedral classes, though they are less accurate. This paper extends the method of zones to labeled Petri net (LPN) models with continuous variables that evolve over a range of rates.

Keywords

  • Range of rates
  • LPNs
  • Zones
  • Difference bound matrices

This material is based upon work supported by an ARCS Fellowship and the National Science Foundation (NSF) under Grant No. CCF-1117515 and CCF-1117660. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the NSF.

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Author information

Authors and Affiliations

  1. University of Utah, Salt Lake City, UT, 84112, USA

    Andrew N. Fisher & Chris J. Myers

  2. Texas A&M University, College Station, TX, 77843, USA

    Peng Li

Authors
  1. Andrew N. Fisher
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  2. Chris J. Myers
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  3. Peng Li
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Corresponding author

Correspondence to Andrew N. Fisher .

Editor information

Editors and Affiliations

  1. Jet Propulsion Laboratory, Pasadena, California, USA

    Klaus Havelund

  2. Jet Propulsion Laboratory, Pasadena, California, USA

    Gerard Holzmann

  3. Jet Propulsion Laboratory, Pasadena, California, USA

    Rajeev Joshi

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Fisher, A.N., Myers, C.J., Li, P. (2015). Reachability Analysis Using Extremal Rates. In: Havelund, K., Holzmann, G., Joshi, R. (eds) NASA Formal Methods. NFM 2015. Lecture Notes in Computer Science(), vol 9058. Springer, Cham. https://doi.org/10.1007/978-3-319-17524-9_12

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  • DOI: https://doi.org/10.1007/978-3-319-17524-9_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17523-2

  • Online ISBN: 978-3-319-17524-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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