We introduce a spatial modal logic based on cone-shaped cardinal directions over the rational plane and we prove that, unlike projection-based ones, such as, for instance, Compass Logic, its satisfiability problem is decidable (PSPACE-complete). We also show that it is expressive enough to subsume meaningful interval temporal logics, thus generalizing previous results in the literature, e.g., its decidability implies that of the subinterval/superinterval temporal logic interpreted over the rational line.

A Decidable Spatial Logic with Cone-Shaped Cardinal Directions

SALA, Pietro
2009-01-01

Abstract

We introduce a spatial modal logic based on cone-shaped cardinal directions over the rational plane and we prove that, unlike projection-based ones, such as, for instance, Compass Logic, its satisfiability problem is decidable (PSPACE-complete). We also show that it is expressive enough to subsume meaningful interval temporal logics, thus generalizing previous results in the literature, e.g., its decidability implies that of the subinterval/superinterval temporal logic interpreted over the rational line.
978-3-642-04026-9
Spatial Logic, Decidability , Interval Temporal Logic, Modal Logic
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/930514
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