Theoretical Computer Science
Product-Free Lambek Calculus Is NP-Complete
LFCS '09 Proceedings of the 2009 International Symposium on Logical Foundations of Computer Science
LC graphs for the Lambek calculus with product
MOL'07/09 Proceedings of the 10th and 11th Biennial conference on The mathematics of language
The product-free Lambek-Grishin calculus is NP-complete
LACL'11 Proceedings of the 6th international conference on Logical aspects of computational linguistics
k-valued non-associative lambek grammars (without product) form a strict hierarchy of languages
LACL'05 Proceedings of the 5th international conference on Logical Aspects of Computational Linguistics
Combinatory categorial grammar as a substructural logic: preliminary remarks
JSAI-isAI'10 Proceedings of the 2010 international conference on New Frontiers in Artificial Intelligence
The Lambek-Grishin calculus is NP-Complete
FG'10/FG'11 Proceedings of the 15th and 16th international conference on Formal Grammar
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We prove, by introducing a new kind of sequent calculus, that the decision problem for the non-associative Lambek calculus with product belongs to PTIME. This solves an open prolem.