Abstract
Intuitionistic fuzzy logic IF was introduced by Takeuti and Titani. This logic coincides with the first-order Godel logic based on the real unit interval [0,1] as set of truth-values. We present a natural deduction system NIF for IF. NIF is defined by suitably translating a first-order extension of Avron’s hypersequent calculus for Godel logic. Soundness, completeness and normal form theorems for NIF are provided.
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