Planning for temporally extended goals as propositional satisfiability

  • Authors:
  • Robert Mattmüller;Jussi Rintanen

  • Affiliations:
  • Albert-Ludwigs-Universität, Institut für Informatik, Freiburg, Germany;National ICT Australia and Australian National University, Canberra, Australia

  • Venue:
  • IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
  • Year:
  • 2007

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Abstract

Planning for temporally extended goals (TEGs) expressed as formulae of Linear-time Temporal Logic (LTL) is a proper generalization of classical planning, not only allowing to specify properties of a goal state but of the whole plan execution. Additionally, LTL formulae can be used to represent domain-specific control knowledge to speed up planning. In this paper we extend SATbased planning for LTL goals (akin to bounded LTL model-checking in verification) to partially ordered plans, thus significantly increasing planning efficiency compared to purely sequential SAT planning. We consider a very relaxed notion of partial ordering and show how planning for LTL goals (without the next-time operator) can be translated into a SAT problem and solved very efficiently. The results extend the practical applicability of SATbased planning to a wider class of planning problems. In addition, they could be applied to solving problems in bounded LTL model-checking more efficiently.