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The Classical Model Existence Theorem in Subclassical Predicate Logics I

  • Jui-Lin LeeEmail author
Part of the Trends in Logic book series (TREN, volume 28)

Abstract

We prove that in predicate logics there are some classically sound Hilbert systems which satisfy the classical model existence theorem (every -consistent set has a classical model) but are weaker than first order logic.

Keywords

extended completeness theorem strong completeness prenex normal form intuitionistic logic three-valued logic 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of PhilosophyNational Chung-Cheng UniversityChia-YiTaiwan

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