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arXiv · 2008.04126

Reasoning about Cardinal Directions between 3-Dimensional Extended Objects using Answer Set Programming

Yusuf Izmirlioglu·Esra Erdem
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Abstract

We propose a novel formal framework (called 3D-nCDC-ASP) to represent and reason about cardinal directions between extended objects in 3-dimensional (3D) space, using Answer Set Programming (ASP). 3D-nCDC-ASP extends Cardinal Directional Calculus (CDC) with a new type of default constraints, and nCDC-ASP to 3D. 3D-nCDC-ASP provides a flexible platform offering different types of reasoning: Nonmonotonic reasoning with defaults, checking consistency of a set of constraints on 3D cardinal directions between objects, explaining inconsistencies, and inferring missing CDC relations. We prove the soundness of 3D-nCDC-ASP, and illustrate its usefulness with applications. This paper is under consideration for acceptance in TPLP.

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Yusuf Izmirlioglu, Esra Erdem. 2020-08-10. Reasoning about Cardinal Directions between 3-Dimensional Extended Objects using Answer Set Programming. https://arxiv.org/abs/2008.04126

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