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Non-associative Lambek Categorial Grammar in Polynomial Time

✍ Scribed by Erik Aarts; Kees Trautwein


Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
455 KB
Volume
41
Category
Article
ISSN
0044-3050

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✦ Synopsis


We present a new axiomatization of the non-associative Lambek calculus. We prove that it takes polynomial time to reduce any non-associative Lambek categorial grammar to an equivalent context-free grammar. Since it is possible to recognize a sentence generated by a context-free grammar in polynomial time, this proves that a sentence generated by any non-associative Lambek categorial grammar can be recognized in polynomial time.