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Preprint Number 1572

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1572. Ali N. Valizadeh and Massoud Pourmahdian
Strict Superstablity and Decidability of Certain Generic Graphs

Submission date: 1 March 2019


We show that the Hrushovski-Fraïssé limit of certain classes of trees lead to strictly superstable theories of various U-ranks. In fact, for each α in ω+1 ∖ {0} we introduce a strictly superstable theory of U-rank α. Furthermore, we show that these theories are decidable and pseudofinite.

Mathematics Subject Classification: 03C99, 05C63

Keywords and phrases:

Full text arXiv 1903.00272: pdf, ps.

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