  We present basic notions of Gold's "learnability in the limit" paradigm,
first presented in 1967, a formalization of the cognitive process by which a
native speaker gets to grasp the underlying grammar of his/her own native
language by being exposed to well formed sentences generated by that grammar.
Then we present Lambek grammars, a formalism issued from categorial grammars
which, although not as expressive as needed for a full formalization of natural
languages, is particularly suited to easily implement a natural interface
between syntax and semantics. In the last part of this work, we present a
learnability result for Rigid Lambek grammars from structured examples.
