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AML
2006
40views more  AML 2006»
13 years 4 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 4 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 4 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 4 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