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Erschienen in:
2009 | OriginalPaper | Buchkapitel
A Decidable Spatial Logic with Cone-Shaped Cardinal Directions
verfasst von : Angelo Montanari, Gabriele Puppis, Pietro Sala
Erschienen in: Computer Science Logic
Verlag: Springer Berlin Heidelberg
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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.