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A Trajectory Calculus for Qualitative Spatial Reasoning Using Answer Set Programming

Published online by Cambridge University Press:  10 August 2018

GEORGE BARYANNIS Open the ORCID record for GEORGE BARYANNIS [Opens in a new window] ,
ILIAS TACHMAZIDIS ,
SOTIRIS BATSAKIS ,
GRIGORIS ANTONIOU ,
MARIO ALVIANO ,
TIMOS SELLIS  and
PEI-WEI TSAI
GEORGE BARYANNIS
Affiliation:
University of Huddersfield, UK (e-mails: g.bargiannis@hud.ac.uk, i.tachmazidis@hud.ac.uk, s.batsakis@hud.ac.uk, g.antoniou@hud.ac.uk)
ILIAS TACHMAZIDIS
Affiliation:
University of Huddersfield, UK (e-mails: g.bargiannis@hud.ac.uk, i.tachmazidis@hud.ac.uk, s.batsakis@hud.ac.uk, g.antoniou@hud.ac.uk)
SOTIRIS BATSAKIS
Affiliation:
University of Huddersfield, UK (e-mails: g.bargiannis@hud.ac.uk, i.tachmazidis@hud.ac.uk, s.batsakis@hud.ac.uk, g.antoniou@hud.ac.uk)
GRIGORIS ANTONIOU
Affiliation:
University of Huddersfield, UK (e-mails: g.bargiannis@hud.ac.uk, i.tachmazidis@hud.ac.uk, s.batsakis@hud.ac.uk, g.antoniou@hud.ac.uk)
MARIO ALVIANO
Affiliation:
University of Calabria, Italy (e-mail: alviano@mat.unical.it)
TIMOS SELLIS
Affiliation:
Swinburne University of Technology, Australia (e-mails: tsellis@swin.edu.au, ptsai@swin.edu.au)
PEI-WEI TSAI
Affiliation:
Swinburne University of Technology, Australia (e-mails: tsellis@swin.edu.au, ptsai@swin.edu.au)
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Abstract

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Spatial information is often expressed using qualitative terms such as natural language expressions instead of coordinates; reasoning over such terms has several practical applications, such as bus routes planning. Representing and reasoning on trajectories is a specific case of qualitative spatial reasoning that focuses on moving objects and their paths. In this work, we propose two versions of a trajectory calculus based on the allowed properties over trajectories, where trajectories are defined as a sequence of non-overlapping regions of a partitioned map. More specifically, if a given trajectory is allowed to start and finish at the same region, 6 base relations are defined (TC-6). If a given trajectory should have different start and finish regions but cycles are allowed within, 10 base relations are defined (TC-10). Both versions of the calculus are implemented as ASP programs; we propose several different encodings, including a generalised program capable of encoding any qualitative calculus in ASP. All proposed encodings are experimentally evaluated using a real-world dataset. Experiment results show that the best performing implementation can scale up to an input of 250 trajectories for TC-6 and 150 trajectories for TC-10 for the problem of discovering a consistent configuration, a significant improvement compared to previous ASP implementations for similar qualitative spatial and temporal calculi.

Keywords

Answer Set ProgrammingSpatial ReasoningQualitative ReasoningTrajectory

Information

Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 18 , Special Issue 3-4: 34th International Conference on Logic Programming , July 2018 , pp. 355 - 371
Copyright
Copyright © Cambridge University Press 2018 

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