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  1. A general condition for collapse results.Michael A. Taitslin - 2001 - Annals of Pure and Applied Logic 113 (1-3):323-330.
    In Belegradek et al. 85) the collapse result theorem was proved for locally generic queries over ordered domain with pseudo-finite homogeneity property. In a very interesting paper of Baldwin and Benedikt the collapse result theorem was proved for locally generic queries over ordered domains without the independence property. It means that over such a domain, order-generic extended queries fail to express more than restricted queries. It was observed by Baldwin and Benedikt that any theory without the independence property is P-reducible. (...)
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  • In memoriam: Mikhail A. Taitslin 1936–2013.Oleg Belegradek & Boris Zilber - 2014 - Bulletin of Symbolic Logic 20 (1):99-102.
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  • Coset-minimal groups.Oleg Belegradek, Viktor Verbovskiy & Frank O. Wagner - 2003 - Annals of Pure and Applied Logic 121 (2-3):113-143.
    A totally ordered group G is called coset-minimal if every definable subset of G is a finite union of cosets of definable subgroups intersected with intervals with endpoints in G{±∞}. Continuing work in Belegradek et al. 1115) and Point and Wagner 261), we study coset-minimality, as well as two weak versions of the notion: eventual and ultimate coset-minimality. These groups are abelian; an eventually coset-minimal group, as a pure ordered group, is an ordered abelian group of finite regular rank. Any (...)
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  • Finite and Infinite Model Theory-A Historical Perspective.John Baldwin - 2000 - Logic Journal of the IGPL 8 (5):605-628.
    We describe the progress of model theory in the last half century from the standpoint of how finite model theory might develop.
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