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103
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MLQ
2002
100views more  MLQ 2002»
15 years 14 days ago
Extensionality Versus Constructivity
We will analyze some extensions of Martin-L
Silvio Valentini
76
Voted
MLQ
2002
76views more  MLQ 2002»
15 years 14 days ago
Update Procedures and the 1-Consistency of Arithmetic
The 1-consistency of arithmetic is shown to be equivalent to the existence of fixed points of a certain type of update procedure, which is implicit in the epsilon-substitution met...
Jeremy Avigad
73
Voted
MLQ
2002
102views more  MLQ 2002»
15 years 14 days ago
Products of Compact Spaces and the Axiom of Choice
We study the Tychonoff Compactness Theorem for several different definitions of a compact space.
Omar de la Cruz, Eric J. Hall, Paul E. Howard, Kyr...
MLQ
2002
81views more  MLQ 2002»
15 years 14 days 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...
81
Voted
MLQ
2002
67views more  MLQ 2002»
15 years 14 days 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