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.

Undecidability of interval temporal logics with the overlap modality

BRESOLIN, Davide;
2009-01-01

Abstract

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.
2009
9780769537276
interval logic; undecidability; temporal logic
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/338622
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