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Conference paper

Undecidability of Interval Temporal Logics with the Overlap Modality

From

Algorithms and Logic, Department of Informatics and Mathematical Modeling, Technical University of Denmark1

Department of Informatics and Mathematical Modeling, Technical University of Denmark2

We investigate fragments of Halpern-Shoham’s interval logic HS involving the modal operators for the relations of left or right overlap of intervals. We prove that most of these fragments are undecidable, by employing a non-trivial reduction from the octant tiling problem.

Language: English
Publisher: IEEE Computer Society Press
Year: 2009
Pages: 88-95
Proceedings: 16th International Symposium on Temporal Representation and Reasoning
ISBN: 0769537278 , 1509075143 , 9780769537276 and 9781509075140
ISSN: 23326468 and 15301311
Types: Conference paper
DOI: 10.1109/TIME.2009.24

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