A generalization of Ehrenfeucht's game and some applications

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21 Scopus citations


The concept of α, β-elementary equivalence of two relational structures is defined. Sufficient and necessary conditions are given for this notion by generalizing Ehrenfeucht's game in algebraic terms. Some results, in a first order language with generalized quantifier, are obtained.

Original languageEnglish
Pages (from-to)279-298
Number of pages20
JournalIsrael Journal of Mathematics
Issue number3
StatePublished - 1 Sep 1972
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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