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Omitting types in fuzzy logic with evaluated syntax. (English) Zbl 1100.03012

The authors extend the omitting types theorem to many-valued logic, particularly to versions of infinite-valued Łukasiewicz logic with countably many as well as with uncountably many truth degree constants.

MSC:

03B52 Fuzzy logic; logic of vagueness
03B50 Many-valued logic
03C10 Quantifier elimination, model completeness, and related topics
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