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MLQ
2007
13 years 7 months ago
2007
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...
MLQ
2010
13 years 6 months ago
2010
: 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...
MLQ
2010
13 years 6 months ago
2010
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
MLQ
2002
13 years 7 months ago
2002
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...
MLQ
2007
13 years 7 months ago
2007
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...