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Truth in Applicative Theories
Authors:Kahle  Reinhard
Institution:(1) WSI, Universität Tübingen, Sand 13, D-72076 Tübingen, Germany
Abstract:We give a survey on truth theories for applicative theories. It comprises Frege structures, universes for Frege structures, and a theory of supervaluation. We present the proof-theoretic results for these theories and show their syntactical expressive power. In particular, we present as a novelty a syntactical interpretation of ID1 in a applicative truth theory based on supervaluation.
Keywords:truth theories  applicative theories  Frege structures  universes  supervaluation
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