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On finite rigid structures

Yuri Gurevich·Saharon Shelah
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Abstract

The main result of this paper is a probabilistic construction of finite rigid structures. It yields a finitely axiomatizable class of finite rigid structures where no L^omega_{infty, omega} formula with counting quantifiers defines a linear order.

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Yuri Gurevich, Saharon Shelah. 1994-11-15. On finite rigid structures. https://arxiv.org/abs/math/9411236

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