The algebraic dichotomy conjecture for infinite domain Constraint Satisfaction Problems

We prove that an ω-categorical core structure primitively positively interprets all finite structures with parameters if and only if some stabilizer of its polymorphism clone has a homomorphism to the clone of projections, and that this happens if and only if its polymorphism clone does not contain...

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Bibliographic Details
Published in:	Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science pp. 615 - 622
Main Authors:	Barto, Libor, Pinsker, Michael
Format:	Conference Proceeding
Language:	English
Published:	New York, NY, USA ACM 05.07.2016
Series:	ACM Conferences
Subjects:	Theory of computation > Logic Theory of computation > Models of computation > Computability continuous clone homomorphism dichotomy conjecture homogeneous structure term condition stabilizer constraint satisfaction problem polymorphism clone ω-categorical structure
ISBN:	9781450343916, 1450343910
Online Access:	Get full text
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