On rational limits of Shelah–Spencer graphs

Journal of Symbolic Logic 77 (2):580-592 (2012)
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Given a sequence {a n } in (0,1) converging to a rational, we examine the model theoretic properties of structures obtained as limits of Shelah-Spencer graphs G(m, m -αn ). We show that in most cases the model theory is either extremely well-behaved or extremely wild, and characterize when each occurs



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Citations of this work

Pseudofiniteness in Hrushovski Constructions.Ali N. Valizadeh & Massoud Pourmahdian - 2020 - Notre Dame Journal of Formal Logic 61 (1):1-10.
Evolving Shelah‐Spencer graphs.Richard Elwes - 2021 - Mathematical Logic Quarterly 67 (1):6-17.

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References found in this work

Review: Alfred Tarski, Undecidable Theories. [REVIEW]Martin Davis - 1959 - Journal of Symbolic Logic 24 (2):167-169.
Stable generic structures.John T. Baldwin & Niandong Shi - 1996 - Annals of Pure and Applied Logic 79 (1):1-35.
DOP and FCP in generic structures.John T. Baldwin & Saharon Shelah - 1998 - Journal of Symbolic Logic 63 (2):427-438.
Dop And Fcp In Generic Structures.John Baldwin & Saharon Shelah - 1998 - Journal of Symbolic Logic 63 (2):427-438.

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