Interpretability into Lukasiewicz Algebras

نویسنده

  • Renato A. Lewin
چکیده

In this paper we give a characterization of all the interpretations of the varieties of bounded distributive lattices, De Morgan algebras and Lukasiewicz algebras of order m in the variety of Lukasiewicz algebras of order n. In the case of distributive lattices we give a structure theorem that is generalized to De Morgan algebras and to Lukasiewicz algebras of order m. In the last two cases we also give the number of such interpretations.

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تاریخ انتشار 2000