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80
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MLQ
1998
103views more  MLQ 1998»
15 years 10 days 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, ...
77
Voted
MLQ
1998
70views more  MLQ 1998»
15 years 10 days ago
S-Storage Operators
In 1990, J.L. Krivine introduced the notion of storage operator to simulate, for Church integers, the “call by value” in a context of a “call by name” strategy. In this pre...
Karim Nour
121
Voted
MLQ
1998
126views more  MLQ 1998»
15 years 10 days ago
Reverse Mathematics and Recursive Graph Theory
We examine a number of results of infinite combinatorics using the techniques of reverse mathematics. Our results are inspired by similar results in recursive combinatorics. Theor...
William I. Gasarch, Jeffry L. Hirst
74
Voted
MLQ
1998
84views more  MLQ 1998»
15 years 10 days ago
Arithmetical Measure
We develop arithmetical measure theory along the lines of Lutz [10]. This yields the same notion of “measure 0 set” as considered before by Martin-L¨of, Schnorr, and others. W...
Sebastiaan Terwijn, Leen Torenvliet