Abstract
Linguists do not always use the term “ operator” clearly. Still, applying an operator to an operand is a basic operation in some applicative formalisms (λ-calculus, combinatory logics, functional programming) used by linguists. An operator is associated to syncategorematic linguistic expressions. Church’s functional types are a suitable formalization of different types of operators in Categorial Grammars. Since linguistic units are viewed as operators, they can be composed by means of the combinators of Curry’s Combinatory Logic. A formal link between application and implication in propositional calculus explains the relevance of the Curry-Howard correspondence between functional types and the implication in propositional calculus ; this correspondence is evaluated in the field of linguistics.
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