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arXiv · 1903.00272

Strict Superstablity and Decidability of Certain Generic Graphs

Ali N. Valizadeh·Massoud Pourmahdian
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Abstract

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

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Ali N. Valizadeh, Massoud Pourmahdian. 2019-03-01. Strict Superstablity and Decidability of Certain Generic Graphs. https://doi.org/10.1007/s41980-019-00234-2

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