We present a technique for destroying stationary subsets of P+ using partial square sequences. We combine this method with Gitik's poset for changing the cofinality of a cardi...
Abstract. Let n be a positive integer and FA (n) be the free abelian latticeordered group on n generators. We prove that FA (m) and FA (n) do not satisfy the same first-order sente...
We investigate the relationship of (jumps of) the degrees of splittings of a computably enumerable set and the degree of the set. We prove that there is a high computably enumerab...
The theory of Schauder hats is a beautiful and powerful tool for investigating, under several respects, the algebraic semantics of Lukasiewicz infinite-valued logic [CDM99], [MMM07...
In this article we study applications of the bounded functional interpretation to theories of feasible arithmetic and analysis. The main results show that the novel interpretation...