An arrangement calculus, its complexity, and algorithmic properties

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Abstract

We define a calculus for spatial reasoning on a grid structure, present a logical calculus, investigate the complexity of the satisfiability problem, we prove its NP completeness and specify additionally a concrete algorithm for solving it.

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Ragni, M. (2003). An arrangement calculus, its complexity, and algorithmic properties. In Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (Vol. 2821, pp. 580–590). Springer Verlag. https://doi.org/10.1007/978-3-540-39451-8_42

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