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# Hypergraph Acyclicity and Extension Preservation Theorems

LICS, pp.418-427, (2008)

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Abstract

A class of structures satisfies the extension preservation theorem if, on this class, every first order sentence is preserved under extension iff it is equivalent to an existential sentence. We consider different acyclicity notions for hypergraphs (\gamma, \beta and \alpha-acyclicity and also acyclicity on hypergraph quotients) and estima...More

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