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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Framing holes within a loop hierarchy

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Author(s):
Santos, Paulo E. [1] ; Cabalar, Pedro [2]
Total Authors: 2
Affiliation:
[1] Ctr Univ FEI, Dept Elect Engn, Sao Paulo - Brazil
[2] Univ A Coruna, Dept Comp Sci, La Coruna - Spain
Total Affiliations: 2
Document type: Journal article
Source: Spatial Cognition and Computation; v. 16, n. 1, p. 54-95, JAN 2 2016.
Web of Science Citations: 2
Abstract

We investigate the relation between nontrivial spatial concepts such as holes and string loops from a qualitative spatial reasoning perspective. In particular, we concentrate on a family of puzzles dealing with this kind of objects and explain how a loop formed in a string shows a similar behavior to a hole in an object, at least regarding the qualitative constraints it imposes on the solution of the puzzle. Unlike regular holes, however, we describe how string loops can be dynamically created and destroyed depending on the actions on the string. Furthermore, under a Knowledge Representation point of view, we provide a formalization that allows the different puzzle states to be described in terms of string crossings and loops, together with the actions that can be executed for a state transition and the complex effects they cause on the state representation. This implies the consideration of a formal representation of the side effects of actions that create or destroy string loops and the soundness of this representation with respect to the more general representation of string states in knot theory. (AU)

FAPESP's process: 12/04089-3 - Collaborative spatial reasoning for a multi-robot system
Grantee:Paulo Eduardo Santos
Support Opportunities: Regular Research Grants