Lazy semiring neighbours and some applications

  • Authors:
  • Peter Höfner;Bernhard Möller

  • Affiliations:
  • Institut für Informatik, Universität Augsburg, Augsburg, Germany;Institut für Informatik, Universität Augsburg, Augsburg, Germany

  • Venue:
  • RelMiCS'06/AKA'06 Proceedings of the 9th international conference on Relational Methods in Computer Science, and 4th international conference on Applications of Kleene Algebra
  • Year:
  • 2006

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Abstract

We extend an earlier algebraic approach to Neighbourhood Logic (NL) from domain semirings to lazy semi-rings yielding lazy semiring neighbours. Furthermore we show three important applications for these. The first one extends NL to intervals with infinite length. The second one applies lazy semiring neighbours in an algebraic semantics of the branching time temporal logic CTL*. The third one sets up a connection between hybrid systems and lazy semiring neighbours.