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  1. A Version of Predicate Logic with Two Variables That has an Incompleteness Property.Mohamed Khaled - forthcoming - Studia Logica:1-23.
    In this paper, we consider predicate logic with two individual variables and general assignment models (where the set of assignments of the variables into a model is allowed to be an arbitrary subset of the usual one). We prove that there is a statement such that no general assignment model in which it is true can be finitely axiomatized. We do this by showing that the free relativized cylindric algebras of dimension two are not atomic.
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  • Distances between formal theories.Michele Friend, Mohamed Khaled, Koen Lefever & Gergely Székely - unknown - Review of Symbolic Logic 13 (3):633-654.
    In the literature, there have been several methods and definitions for working out whether two theories are “equivalent” or not. In this article, we do something subtler. We provide a means to measure distances between formal theories. We introduce two natural notions for such distances. The first one is that of axiomatic distance, but we argue that it might be of limited interest. The more interesting and widely applicable notion is that of conceptual distance which measures the minimum number of (...)
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