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AML
2002
112views more  AML 2002»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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