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No non-trivial quasivariety of BCK-algebras has decidable first order theory - MaRDI portal

No non-trivial quasivariety of BCK-algebras has decidable first order theory (Q1100203)

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scientific article; zbMATH DE number 4041916
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English
No non-trivial quasivariety of BCK-algebras has decidable first order theory
scientific article; zbMATH DE number 4041916

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    No non-trivial quasivariety of BCK-algebras has decidable first order theory (English)
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    1987
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    By means of the semantic embedding method it is shown that any class of BCK-algebras containing the two-element BCK-algebra and closed with respect to the operation of finite products has undecidable first order theory.
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    semantic embedding method
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    BCK-algebras
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    undecidable first order theory
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