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JMIV
2006
78views more  JMIV 2006»
13 years 4 months ago
Axiomatic Digital Topology
The paper presents a new set of axioms of digital topology, which are easily understandable for application developers. They define a class of locally finite (LF) topological space...
Vladimir Kovalevsky
ENTCS
2007
80views more  ENTCS 2007»
13 years 4 months ago
Topological Perspective on the Hybrid Proof Rules
We consider the non-orthodox proof rules of hybrid logic from the viewpoint of topological semantics. Topological semantics is more general than Kripke semantics. We show that the...
Balder ten Cate, Tadeusz Litak
AML
2006
87views more  AML 2006»
13 years 4 months ago
The modal logic of continuous functions on cantor space
Abstract 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'...
Philip Kremer
TARK
1992
Springer
13 years 9 months ago
Topological Reasoning and The Logic of Knowledge
We present a bimodal logic suitable for formalizing reasoning about points and sets, and also states of the world and views about them. The most natural interpretation of the logi...
Lawrence S. Moss, Rohit Parikh
FSEN
2009
Springer
13 years 11 months ago
Equational Reasoning on Ad Hoc Networks
We provide an equational theory for Restricted Broadcast Process Theory to reason about ad hoc networks. We exploit an extended algebra called Computed Network Theory to axiomatize...
Fatemeh Ghassemi, Wan Fokkink, Ali Movaghar