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Differentiating assumptions from extra-logical axioms in natural deduction

  • Mario R. F. Benevides
Contributed Papers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 713)

Abstract

In this work, we provide a presentation of classical and intuitionistic logics in a natural deduction style, making a clear distinction between extra-logical axioms and assumptions. Some important theorems about these presentations were proved — cut-elimination, consistency and completeness. Moreover, it was proved that the consequence relations defined for these logics have some interesting properties: reflexivity, monotonicity and transitivity.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Mario R. F. Benevides
    • 1
  1. 1.COPPE/Sistemas - UFRJRio de JaneiroBrazil

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