Preservation theorems in {L}ukasiewicz \model theory
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Abstract:
We present some model theoretic results for {L}ukasiewiczpredicate logic by using the methods of continuous model theorydeveloped by Chang and Keisler.We prove compactness theorem with respect to the class of allstructures taking values in the {L}ukasiewicz $texttt{BL}$-algebra.We also prove some appropriate preservation theorems concerning universal and inductive theories.Finally, Skolemization and Morleyization in this framework are discussed andsome natural examples of fuzzy theories are presented.
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Journal title
volume 10 issue 3
pages 103- 113
publication date 2013-06-01
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