Dalmau, V. and Krokhin, A. and Larose, B. (2004) 'First-order definable retraction problems for posets and reflexive graphs.', in 19th annual IEEE symposium on logic in computer science, LICS'04, 13-17 July 2004, Turku, Finland ; proceedings. , pp. 232-241.
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.
|Item Type:||Book chapter|
|Full text:||(VoR) Version of Record|
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|Publisher Web site:||http://dx.doi.org/10.1109/LICS.2004.1319617|
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|Date accepted:||No date available|
|Date deposited:||06 April 2010|
|Date of first online publication:||2004|
|Date first made open access:||No date available|
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