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MLQ
2002
81views more  MLQ 2002»
14 years 10 months ago
Apartness, Topology, and Uniformity: a Constructive View
The theory of apartness spaces, and their relation to topological spaces (in the point--set case) and uniform spaces (in the set--set case), is sketched. New notions of local decom...
Douglas S. Bridges, Peter Schuster, Luminita V&ici...
MLQ
2002
67views more  MLQ 2002»
14 years 10 months ago
Intuitionistic Fixed Point Theories for Strictly Positive Operators
In this paper it is shown that the intuitionistic fixed point theory ID i (strict) for times iterated fixed points of strictly positive operator forms is conservative for negativ...
Christian Rüede, Thomas Strahm
MLQ
1998
103views more  MLQ 1998»
14 years 10 months ago
Versions of Normality and Some Weak Forms of the Axiom of Choice
Abstract. We investigate the set theoretical strength of some properties of normality, including Urysohn’s Lemma, Tietze-Urysohn Extension Theorem, normality of disjoint unions o...
Paul E. Howard, Kyriakos Keremedis, Herman Rubin, ...
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MLQ
1998
61views more  MLQ 1998»
14 years 10 months ago
Extracting Algorithms from Intuitionistic Proofs
This paper presents a new method – which does not rely on the cut-elimination theorem – for characterizing the provably total functions of certain intuitionistic subsystems of ...
Fernando Ferreira, António Marques
MLQ
2007
108views more  MLQ 2007»
14 years 10 months ago
Coloring linear orders with Rado's partial order
Let R be the preorder of embeddability between countable linear orders colored with elements of Rado’s partial order (a standard example of a wqo which is not a bqo). We show tha...
Riccardo Camerlo, Alberto Marcone