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Carl Schultz 0001

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2 papers
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2

ECAI Conference 2014 Conference Paper

Declarative Spatial Reasoning with Boolean Combinations of Axis-Aligned Rectangular Polytopes

  • Carl Schultz 0001
  • Mehul Bhatt

We present a formal framework and implementation for declarative spatial representation and reasoning about the topological relationships between boolean combinations of regions (i. e. , union, intersection, difference, xor). Regions of space here correspond to arbitrary axis aligned n-polytope objects, with geometric parameters either fully grounded, partially grounded, or completely unspecified. The framework is implemented in the context of CLP(𝒬 𝒮)CLP(𝒬 𝒮): A Declarative Spatial Reasoning System. www. spatial-reasoning. com

ECAI Conference 2012 Conference Paper

Towards a Declarative Spatial Reasoning System

  • Carl Schultz 0001
  • Mehul Bhatt

We present early results on the development of a declarative spatial reasoning system within the context of the Constraint Logic Programming (CLP) framework. The system is capable of modelling and reasoning about qualitative spatial relations pertaining to multiple spatial domains, i. e. , one or more aspects of space such as topology, and intrinsic and extrinsic orientation. It provides a seamless mechanism for combining formal qualitative spatial calculi within one framework, and provides a Prolog-based declarative interface for AI applications to abstract and reason about quantitative, geometric information in a qualitative manner. Based on previous work concerning the formalisation of the framework [2], we present ongoing work to develop the theoretical result into a comprehensive reasoning system (and Prolog-based library) which may be used independently, or as a logic-based module within hybrid intelligent systems.

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