Abstract. This paper develops the model theory of ordered structures that satisfy Keisler's regularity scheme, and its strengthening REF(L) (the reflection scheme) which is an...
In this paper we naturally define when a theory has bounded quantifier elimination, or is bounded model complete. We give several equivalent conditions for a theory to have each...
Abstract. This research is motivated by the program of Reverse Mathematics. We investigate basic part of complex analysis within some weak subsystems of second order arithmetic, in...
The main result of this paper is a partial answer to [7, Problem 5.5]: a finite iteration of Universal Meager forcing notions adds generic filters for many forcing notions determ...
A method is described for obtaining conjunctive normal forms for logics using Gentzen-style rules possessing a special kind of strong invertibility. This method is then applied to ...
We study the notion of weak dividing introduced by S. Shelah. In particular we prove that T is stable iff weak dividing is symmetric. In order to study simple theories Shelah orig...