First-order Definable Retraction Problems for Posets and Reflexive Graphs

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Citation for Published Item: Use Policy First-order Definable Retraction Problems for Posets and Reflexive Graphs *

A retraction from a structure P to its substructure Q is a homomorphism from P onto Q that is the identity on Q. We present an algebraic condition which completely characterises all posets and all reflexive graphs Q with the following property: the class of all posets or reflexive graphs, respectively, that admit a retraction onto Q is first-order definable.

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ژورنال

عنوان ژورنال: Journal of Logic and Computation

سال: 2006

ISSN: 0955-792X,1465-363X

DOI: 10.1093/logcom/exl014