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AML
2006
40views more  AML 2006»
13 years 11 months ago
Homogeneously Souslin sets in small inner models
We prove that every homogeneously Souslin set is coanalytic provided that either (a) 0long does not exist, or else (b) V = K, where K is the core model below a
Peter Koepke, Ralf Schindler
AML
2006
49views more  AML 2006»
13 years 11 months ago
No Escape from Vardanyan's theorem
Vardanyan's Theorem states that the set of PA-valid principles of Quantified Modal Logic, QML, is complete 0 2. We generalize this result to a wide class of theories. The cru...
Albert Visser, Maartje de Jonge
AML
2006
87views more  AML 2006»
13 years 11 months ago
The modal logic of continuous functions on cantor space
Abstract Let L be a propositional language with standard Boolean connectives plus two modalities: an S4-ish topological modality and a temporal modality , understood as `next'...
Philip Kremer
AML
2006
76views more  AML 2006»
13 years 11 months ago
There is no ordering on the classes in the generalized high/low hierarchies
We prove that the existential theory of the Turing degrees, in the language with Turing reduction, 0, and unary relations for the classes in the generalized high/low hierarchy, is ...
Antonio Montalbán