The Product-Free Lambek-Grishin Calculus Is NP-Complete

  • Jeroen Bransen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6736)


The Lambek-Grishin calculus LG is the symmetric extension of the non-associative Lambek calculus NL. In this paper we prove that the derivability problem for the product-free fragment of LG is NP-complete, thus improving on Bransen (2010) where this is shown for LG with product.


Inference Rule Logical Rule Boolean Formula Satisfying Assignment Display Rule 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Jeroen Bransen
    • 1
  1. 1.Utrecht UniversityThe Netherlands

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