Strict Superstablity and Decidability of Certain Generic Graphs

Fuente: arXiv
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Main Authors: Valizadeh, Ali N., Pourmahdian, Massoud
Format: Preprint
Published: 2019
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author Valizadeh, Ali N.
Pourmahdian, Massoud
author_facet Valizadeh, Ali N.
Pourmahdian, Massoud
contents 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 $ α\inω+1\backslash\{0\} $ we introduce a strictly superstable theory of U-rank $ α. $ Furthermore, we show that these theories are decidable and pseudofinite.
format Preprint
id arxiv_https___arxiv_org_abs_1903_00272
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Strict Superstablity and Decidability of Certain Generic Graphs
Valizadeh, Ali N.
Pourmahdian, Massoud
Logic
Combinatorics
03C99, 05C63
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 $ α\inω+1\backslash\{0\} $ we introduce a strictly superstable theory of U-rank $ α. $ Furthermore, we show that these theories are decidable and pseudofinite.
title Strict Superstablity and Decidability of Certain Generic Graphs
topic Logic
Combinatorics
03C99, 05C63
url https://arxiv.org/abs/1903.00272