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85
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MLQ
2007
116views more  MLQ 2007»
14 years 12 months ago
Local sentences and Mahlo cardinals
Local sentences were introduced by Ressayre in [Res88] who proved certain remarkable stretching theorems establishing the equivalence between the existence of finite models for t...
Olivier Finkel, Stevo Todorcevic
104
Voted
MLQ
2010
226views more  MLQ 2010»
14 years 10 months ago
The Ultrafilter Closure in ZF
: It is well known that, in a topological space, the open sets can be characterized using filter convergence. In ZF (Zermelo-Fraenkel set theory without the Axiom of Choice), we c...
Gonçalo Gutierres
91
Voted
MLQ
2010
99views more  MLQ 2010»
14 years 10 months ago
Proof interpretations with truth
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
Jaime Gaspar, Paulo Oliva
MLQ
2002
87views more  MLQ 2002»
15 years 1 days ago
A Relationship between Equilogical Spaces and Type Two Effectivity
Abstract. In this paper I compare two well studied approaches to topological semantics-the domain-theoretic approach, exemplified by the category of countably based equilogical spa...
Andrej Bauer
81
Voted
MLQ
2007
90views more  MLQ 2007»
14 years 12 months ago
Kripke submodels and universal sentences
We define two notions for intuitionistic predicate logic: that of a submodel of a Kripke model, and that of a universal sentence. We then prove a corresponding preservation theor...
Ben Ellison, Jonathan Fleischmann, Dan McGinn, Wim...