1.  48
    Fifty years of the spectrum problem: survey and new results.Arnaud Durand, Neil D. Jones, Johann A. Makowsky & Malika More - 2012 - Bulletin of Symbolic Logic 18 (4):505-553.
    In 1952, Heinrich Scholz published a question in The Journal of Symbolic Logic asking for a characterization of spectra, i.e., sets of natural numbers that are the cardinalities of finite models of first order sentences. Günter Asser in turn asked whether the complement of a spectrum is always a spectrum. These innocent questions turned out to be seminal for the development of finite model theory and descriptive complexity. In this paper we survey developments over the last 50-odd years pertaining to (...)
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  2.  43
    Notions of sameness by default and their application to anaphora, vagueness, and uncertain reasoning.Ariel Cohen, Michael Kaminski & Johann A. Makowsky - 2008 - Journal of Logic, Language and Information 17 (3):285-306.
    We motivate and formalize the idea of sameness by default: two objects are considered the same if they cannot be proved to be different. This idea turns out to be useful for a number of widely different applications, including natural language processing, reasoning with incomplete information, and even philosophical paradoxes. We consider two formalizations of this notion, both of which are based on Reiter’s Default Logic. The first formalization is a new relation of indistinguishability that is introduced by default. We (...)
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  3.  21
    1995 European Summer Meeting of the Association for Symbolic Logic.Johann A. Makowsky - 1997 - Bulletin of Symbolic Logic 3 (1):73-147.