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The Journal of Symbolic Logic The Journal of Symbolic Logic

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Relational structures constructible by quantifier free definable operations

Published online by Cambridge University Press:  12 March 2014

Saharon Shelah  and
Mor Doron
Saharon Shelah
Affiliation:
The Hebrew University of Jerusalem, Einstein Institute of Mathematics, Edmond Safra Campus, Givat Ram, Jerusalem 91904, Israel. E-mail: shelah@math.huji.ac.il
Mor Doron
Affiliation:
The Hebrew University of Jerusalem, Einstein Institute of Mathematics, Edmond Safra Campus, Givat Ram, Jerusalem 91904, Israel. E-mail: mord@math.huji.ac.il
Corresponding
E-mail address:
shelah@math.huji.ac.il
mord@math.huji.ac.il
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Abstract

We consider the notion of bounded m-ary patch-width defined in [9], and its very close relative m-constructibility defined below. We show that the notions of m-constructibility all coincide for m ≥ 3, while 1-constructibility is a weaker notion. The same holds for bounded m-ary patch-width. The case m = 2 is left open.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 72 , Issue 4 , December 2007 , pp. 1283 - 1298
Copyright
Copyright © Association for Symbolic Logic 2007

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References

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