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Undecidability of Interval Temporal Logics with the Overlap Modality

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5 Author(s)

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.

Published in:

Temporal Representation and Reasoning, 2009. TIME 2009. 16th International Symposium on

Date of Conference:

23-25 July 2009