Decidability, Introduction Rules and Automata

  • Gilles Dowek
  • Ying Jiang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9450)


We present a method to prove the decidability of provability in several well-known inference systems. This method generalizes both cut-elimination and the construction of an automaton recognizing the provable propositions.



This work is supported by the ANR-NSFC project LOCALI (NSFC 61161130530 and ANR 11 IS02 002 01) and the Chinese National Basic Research Program (973) Grant No. 2014CB340302.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.InriaParis Cedex 13France
  2. 2.State Key Laboratory of Computer Science, Institute of SoftwareChinese Academy of SciencesBeijingChina

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