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» Topology, connectedness, and modal logic
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AIML
2008
13 years 6 months ago
Modal logics for mereotopological relations
We present a complete axiomatization of a logic denoted by MTML (Mereo-Topological Modal Logic) based on the following set of mereotopological relations: part-of, overlap, underlap...
Yavor Nenov, Dimiter Vakarelov
AML
2010
118views more  AML 2010»
13 years 5 months ago
The modal logic of continuous functions on the rational numbers
Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as `next'. We ext...
Philip Kremer
APAL
2010
97views more  APAL 2010»
13 years 5 months ago
A modal logic framework for reasoning about comparative distances and topology
We propose and investigate a uniform modal logic framework for reasoning about topology and relative distance in metric and more general distance spaces, thus enabling the compari...
Mikhail Sheremet, Frank Wolter, Michael Zakharyasc...
APAL
2005
125views more  APAL 2005»
13 years 4 months ago
Dynamic topological logic
Dynamic Topological Logic provides a context for studying the confluence of the topological semantics for S4, based on topological spaces rather than Kripke frames; topological dy...
Philip Kremer, Grigori Mints
KI
1999
Springer
13 years 9 months ago
On the Translation of Qualitative Spatial Reasoning Problems into Modal Logics
Among the formalisms for qualitative spatial reasoning, the Region Connection Calculus and its variant, the constraint algebra RCC8, have received particular attention recently. A...
Werner Nutt