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A Trajectory Calculus for Qualitative Spatial Reasoning Using Answer Set Programming

Authors :
Baryannis, George
Tachmazidis, Ilias
Batsakis, Sotiris
Antoniou, Grigoris
Alviano, Mario
Sellis, Timos
Tsai, Pei-Wei
Source :
Theory and Practice of Logic Programming 18 (2018) 355-371
Publication Year :
2018

Abstract

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. This manuscript is under consideration for acceptance in TPLP.<br />Comment: Paper presented at the 34th International Conference on Logic Programming (ICLP 2018), Oxford, UK, July 14 to July 17, 2018, 20 pages, LaTeX, 16 figures

Details

Database :
arXiv
Journal :
Theory and Practice of Logic Programming 18 (2018) 355-371
Publication Type :
Report
Accession number :
edsarx.1804.07088
Document Type :
Working Paper
Full Text :
https://doi.org/10.1017/S147106841800011X