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  1.  19
    A simple indeterminate infinite game.Damian Niwinski & Eryk Kopczynski - 2014 - In Dieter Spreen, Hannes Diener & Vasco Brattka (eds.), Logic, Computation, Hierarchies. De Gruyter. pp. 205-212.
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  2.  19
    Y = 2x vs. Y = 3x.Alexei Stolboushkin & Damian Niwiński - 1997 - Journal of Symbolic Logic 62 (2):661-672.
    We show that no formula of first order logic using linear ordering and the logical relation y = 2x can define the property that the size of a finite model is divisible by 3. This answers a long-standing question which may be of relevance to certain open problems in circuit complexity.
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    $Y = 2x$ vs. $y = 3x$.Alexei Stolboushkin & Damian Niwinski - 1997 - Journal of Symbolic Logic 62 (2):661-672.
    We show that no formula of first order logic using linear ordering and the logical relation $y = 2x$ can define the property that the size of a finite model is divisible by 3. This answers a long-standing question which may be of relevance to certain open problems in circuit complexity.
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