Continuations and Polymorphic Lambek Calculus (Logic, Language, Algebraic system and Related Areas in Computer Science)

We introduced the notion of continuation in lambda calculus for Lambek calculus and showed that the continuation-passing style transformation could be naturally derived from the rules of Lambek calculus. Furthermore, since the answer category of a continuation is given when the whole sentence is determined, we introduced a polymorphic category and generalized the continuation-passing style transformation in the polymorphic Lambek calculus