The fundamental theorem of ultraproduct in Pavelka's logic

Mathematical Logic Quarterly 38 (1):197-201 (1992)

Abstract
In [This Zeitschrift 25 , 45-52, 119-134, 447-464], Pavelka systematically discussed propositional calculi with values in enriched residuated lattices and developed a general framework for approximate reasoning. In the first part of this paper we introduce the concept of generalized quantifiers into Pavelka's logic and establish the fundamental theorem of ultraproduct in first order Pavelka's logic with generalized quantifiers. In the second part of this paper we show that the fundamental theorem of ultraproduct in first order Pavelka's logic is preserved under some direct product of lattices of truth values
Keywords Lattice‐valued logic with generalized quantifiers
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DOI 10.1002/malq.19920380115
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References found in this work BETA

Model Theory.Michael Makkai, C. C. Chang & H. J. Keisler - 1991 - Journal of Symbolic Logic 56 (3):1096.
Model Theory.C. C. Chang & H. J. Keisler - 1976 - Journal of Symbolic Logic 41 (3):697-699.

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