On the Mints Hierarchy in First-Order Intuitionistic Logic

  • Aleksy SchubertEmail author
  • Paweł Urzyczyn
  • Konrad Zdanowski
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9034)


We study the decidability and complexity of fragments of intuitionistic first-order logic over ( ∀ , → ) determined by the alternation of positive and negative occurrences of quantifiers (Mints hierarchy). We prove that fragments Π2 and Σ2 are undecidable and that Σ1 is Expspace-complete.


Intuitionistic Logic Object Variable Relation Symbol Proof Assistant Unary Predicate 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Aleksy Schubert
    • 1
    Email author
  • Paweł Urzyczyn
    • 1
  • Konrad Zdanowski
    • 2
  1. 1.Institute of InformaticsUniversity of WarsawWarsawPoland
  2. 2.Cardinal Stefan Wyszyński UniversityWarsawPoland

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