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
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...
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'...
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 ...