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A Tableau-Based System for Spatial Reasoning about Directional Relations

  • Davide Bresolin
  • Angelo Montanari
  • Pietro Sala
  • Guido Sciavicco
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5607)

Abstract

The management of qualitative spatial information is an important research area in computer science and AI. Modal logic provides a natural framework for the formalization and implementation of qualitative spatial reasoning. Unfortunately, when directional relations are considered, modal logic systems for spatial reasoning usually turn out to be undecidable (often even not recursively enumerable). In this paper, we give a first example of a decidable modal logic for spatial reasoning with directional relations, called Weak Spatial Propositional Neighborhood Logic (WSpPNL for short). WSpPNL features two modalities, respectively an east modality and a north modality, to deal with non-empty rectangles over ℕ ×ℕ. We first show the NEXPTIME-completeness of WSpPNL, then we develop an optimal tableau method for it.

Keywords

Modal Logic Directional Relation Propositional Variable Topological Relation Spatial Reasoning 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Davide Bresolin
    • 1
  • Angelo Montanari
    • 2
  • Pietro Sala
    • 2
  • Guido Sciavicco
    • 3
  1. 1.Department of Computer ScienceUniversity of VeronaVeronaItaly
  2. 2.Department of Mathematics and Computer ScienceUniversity of UdineUdineItaly
  3. 3.Department of Information, Engineering and CommunicationsUniversity of MurciaMurciaSpain

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