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CORR
2010
Springer
85views Education» more  CORR 2010»
13 years 4 months ago
The Lambek-Grishin calculus is NP-complete
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 LG is NP-complete.
Jeroen Bransen
CORR
2011
Springer
194views Education» more  CORR 2011»
12 years 11 months ago
Polarized Montagovian Semantics for the Lambek-Grishin calculus
Grishin ([10]) proposed enriching the Lambek calculus with multiplicative disjunction (par) and coresiduals. Applications to linguistics were discussed by Moortgat ([15]), who spok...
Arno Bastenhof
WOLLIC
2007
Springer
13 years 10 months ago
Symmetries in Natural Language Syntax and Semantics: The Lambek-Grishin Calculus
In this paper, we explore the Lambek-Grishin calculus LG: a symmetric version of categorial grammar based on the generalizations of Lambek calculus studied in Grishin [1]. The voca...
Michael Moortgat
IANDC
2010
125views more  IANDC 2010»
13 years 3 months ago
Continuation semantics for the Lambek-Grishin calculus
Categorial grammars in the tradition of Lambek [18, 19] are asymmetric: sequent statements are of the form Γ ⇒ A, where the succedent is a single formula A, the antecedent a st...
Raffaella Bernardi, Michael Moortgat