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» Modal Logics for Region-based Theories of Space
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CSL
2010
Springer
13 years 6 months ago
On the Computability of Region-Based Euclidean Logics
By a Euclidean logic, we understand a formal language whose variables range over subsets of Euclidean space, of some fixed dimension, and whose non-logical primitives have fixed me...
Yavor Nenov, Ian Pratt-Hartmann
JANCL
2007
86views more  JANCL 2007»
13 years 4 months ago
Dynamic logics of the region-based theory of discrete spaces
The aim of this paper is to give new kinds of modal logics suitable for reasoning about regions in discrete spaces. We call them dynamic logics of the region-based theory of discr...
Philippe Balbiani, Tinko Tinchev, Dimiter Vakarelo...
FUIN
2007
65views more  FUIN 2007»
13 years 5 months ago
Modal Logics for Region-based Theories of Space
Philippe Balbiani, Tinko Tinchev, Dimiter Vakarelo...
TIME
2008
IEEE
13 years 11 months ago
Moving Spaces
Boolean contact algebras constitute a convenient approach to a region based theory of space. In this paper we want to extend this approach to regions moving in time - called timed...
Ivo Düntsch, Michael Winter
JANCL
2002
91views more  JANCL 2002»
13 years 4 months ago
A Modal Walk Through Space
We investigate the major mathematical theories of space from a modal standpoint: topology, affine geometry, metric geometry, and vector algebra. This allows us to see new fine-str...
Marco Aiello, Johan van Benthem