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Deleting Redundancy in Proof Reconstruction

  • Stephan Schmitt
  • Christoph Kreitz
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1397)

Abstract

We present a framework for eliminating redundancies during the reconstruction of sequent proofs from matrix proofs. We show that search-free proof reconstruction requires knowledge from the proof search process. We relate different levels of proof knowledge to reconstruction knowledge and analyze which redundancies can be deleted by using such knowledge. Our framework is uniformly applicable to classical logic and all non-classical logics which have a matrix characterization of validity and enables us to build adequate conversion procedures for each logic.

Keywords

Intuitionistic Logic Decomposition Problem Sequent Rule Proof Search Logical Validity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Stephan Schmitt
    • 1
  • Christoph Kreitz
    • 2
  1. 1.Fachgebiet Intellektik, Fachbereich InformatikDarmstadt University of TechnologyDarmstadtGermany
  2. 2.Department of Computer ScienceCornell UniversityIthacaUSA

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