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Situation Calculus Meets Description Logics

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Description Logic, Theory Combination, and All That

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11560))

Abstract

For more than six years, the groups of Franz Baader and Gerhard Lakemeyer have collaborated in the area of decidable verification of Golog programs. Golog is an action programming language, whose semantics is based on the Situation Calculus, a variant of full first-order logic. In order to achieve decidability, the expressiveness of the base logic had to be restricted, and using a Description Logic was a natural choice. In this chapter, we highlight some of the main results and insights obtained during our collaboration.

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Notes

  1. 1.

    Free variables are understood as universally quantified from the outside; \(\Box \) has lower syntactic precedence than the logical connectives, [t] has higher precedence than the logical connectives. So \(\Box [a]F(\mathbf {x}) \equiv \gamma _F\) abbreviates \(\forall a,\mathbf {x}.\Box (([a]F(\mathbf {x})) \equiv \gamma _F)\).

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Acknowledgements

This work was supported by the German Research Foundation (DFG), research unit FOR 1513 on Hybrid Reasoning for Intelligent Systems, project A1.

Author information

Authors and Affiliations

  1. School of Computing Science, Simon Fraser University, Burnaby, Canada

    Jens Claßen

  2. Knowledge-Based Systems Group, RWTH Aachen University, Aachen, Germany

    Gerhard Lakemeyer

  3. Institute of Theoretical Computer Science, Technische Universität Dresden, Dresden, Germany

    Benjamin Zarrieß

Authors
  1. Jens Claßen
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  2. Gerhard Lakemeyer
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  3. Benjamin Zarrieß
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Corresponding author

Correspondence to Jens Claßen .

Editor information

Editors and Affiliations

  1. University of Bremen, Bremen, Germany

    Carsten Lutz

  2. University of Manchester, Manchester, UK

    Uli Sattler

  3. University of Iowa, Iowa City, IA, USA

    Cesare Tinelli

  4. TU Dresden, Dresden, Germany

    Anni-Yasmin Turhan

  5. University of Liverpool, Liverpool, UK

    Frank Wolter

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Claßen, J., Lakemeyer, G., Zarrieß, B. (2019). Situation Calculus Meets Description Logics. In: Lutz, C., Sattler, U., Tinelli, C., Turhan, AY., Wolter, F. (eds) Description Logic, Theory Combination, and All That. Lecture Notes in Computer Science(), vol 11560. Springer, Cham. https://doi.org/10.1007/978-3-030-22102-7_11

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