License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.TIME.2019.4
URN: urn:nbn:de:0030-drops-113622
URL: https://drops.dagstuhl.de/opus/volltexte/2019/11362/
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Walega, Przemyslaw Andrzej ; Zawidzki, Michal

A Modal Logic for Subject-Oriented Spatial Reasoning

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LIPIcs-TIME-2019-4.pdf (1 MB)


Abstract

We present a modal logic for representing and reasoning about space seen from the subject's perspective. The language of our logic comprises modal operators for the relations "in front", "behind", "to the left", and "to the right" of the subject, which introduce the intrinsic frame of reference; and operators for "behind an object", "between the subject and an object", "to the left of an object", and "to the right of an object", employing the relative frame of reference. The language allows us to express nominals, hybrid operators, and a restricted form of distance operators which, as we demonstrate by example, makes the logic interesting for potential applications. We prove that the satisfiability problem in the logic is decidable and in particular PSpace-complete.

BibTeX - Entry

@InProceedings{walega_et_al:LIPIcs:2019:11362,
  author =	{Przemyslaw Andrzej Walega and Michal Zawidzki},
  title =	{{A Modal Logic for Subject-Oriented Spatial Reasoning}},
  booktitle =	{26th International Symposium on Temporal Representation and Reasoning (TIME 2019)},
  pages =	{4:1--4:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-127-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{147},
  editor =	{Johann Gamper and Sophie Pinchinat and Guido Sciavicco},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/11362},
  URN =		{urn:nbn:de:0030-drops-113622},
  doi =		{10.4230/LIPIcs.TIME.2019.4},
  annote =	{Keywords: spatial logic, modal logic, subject-oriented, computational complexity}
}

Keywords: spatial logic, modal logic, subject-oriented, computational complexity
Collection: 26th International Symposium on Temporal Representation and Reasoning (TIME 2019)
Issue Date: 2019
Date of publication: 07.10.2019


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