Universal Horn Sentences and the Joint Embedding Property

The finite models of a universal sentence $\Phi$ in a finite relational signature are the age of a structure if and only if $\Phi$ has the joint embedding property. We prove that the computational problem whether a given universal sentence $\Phi$ has the joint embedding property is undecidable, even...

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Bibliographic Details
Main Authors: Manuel Bodirsky, Jakub Rydval, André Schrottenloher
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2022-05-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/7435/pdf