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Universal Horn Sentences and the Joint Embedding Property

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 نشر من قبل Jakub Rydval
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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The finite models of a universal sentence $Phi$ 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 if $Phi$ is additionally Horn and the signature is binary.


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