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...
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...
We study Nonassociative Lambek Calculus with additives ∧, ∨, satisfying the distributive law (Distributive Full Nonassociative Lambek Calculus DFNL). We prove that categorial g...
This paper presents a method for parsing associative Lambek grammars based on graphtheoretic properties. Connection graphs, which are a simplified version of proof-nets, are actua...