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» Topological Duality in Semantics
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ICPR
2008
IEEE
14 years 4 months ago
Linear time recognition algorithms for topological invariants in 3D
In this paper, we design linear time algorithms to recognize and determine topological invariants such as genus and homology groups in 3D. These invariants can be used to identify...
Li Chen, Yongwu Rong
CORR
2006
Springer
120views Education» more  CORR 2006»
13 years 9 months ago
Logic Column 15: Coalgebras and Their Logics
of proposed research. A short bibliography is optional. Domain theory has been developed around 40 years since 1970s by D. Scott, and S. Abramsky revealed the "junction betwee...
Alexander Kurz
ENTCS
2007
80views more  ENTCS 2007»
13 years 9 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
ACS
2010
13 years 10 months ago
Graded and Koszul Categories
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-commutative geometry and topology. The aim of this paper and several sequel paper...
Roberto Martínez-Villa, Øyvind Solbe...
AML
2006
87views more  AML 2006»
13 years 10 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