Abstract
Rational Pavelka logic extends Lukasiewicz infinitely valued logic by adding truth constants for rationals in [0,1]. We show that this is a conservative extension. We note that this shows that provability degree can be defined in Lukasiewicz logic. We also give a counterexample to a soundness theorem of Belluce and Chang published in 1963.
Translated title of the contribution | Rational Pavelka predicate logic is a conservative extension of Lukasiewicz predicate logic |
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Original language | English |
Pages (from-to) | 669 - 682 |
Number of pages | 14 |
Journal | Journal of Symbolic Logic |
Volume | 65 |
Publication status | Published - Jun 2000 |