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AML
2002
112views more  AML 2002»
13 years 9 months ago
Strong normalization of a symmetric lambda calculus for second-order classical logic
Abstract We extend Barbanera and Berardi's symmetric lambda calculus [2] to second order classical propositional logic and prove its strong normalization.
Yoriyuki Yamagata
AML
2004
54views more  AML 2004»
13 years 9 months ago
Imaginaries in Hilbert spaces
We characterise imaginaries (up to interdefinability) in Hilbert spaces using a Galois theory for compact unitary groups.
Itay Ben-Yaacov, Alexander Berenstein
AML
2004
92views more  AML 2004»
13 years 9 months ago
Adding Skolem functions to simple theories
We examine the conditions under which we can keep simplicity or categoricity after adding a Skolem function to the theory. AMS classification: 03C45 , 03C50
Herwig Nübling
AML
2006
49views more  AML 2006»
13 years 9 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
85views more  AML 2006»
13 years 9 months ago
Arithmetical Sacks Forcing
Abstract. We answer a question of Jockusch by constructing a hyperimmunefree minimal degree below a 1-generic one. To do this we introduce a new forcing notion called arithmetical ...
Rod Downey, Liang Yu