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MLQ
2002
100views more  MLQ 2002»
13 years 5 months ago
Extensionality Versus Constructivity
We will analyze some extensions of Martin-L
Silvio Valentini
MLQ
2002
76views more  MLQ 2002»
13 years 5 months 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
MLQ
2002
102views more  MLQ 2002»
13 years 5 months 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»
13 years 5 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»
13 years 5 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