This paper presents a case-study devoted to the formaliza-tion of sentence frames in the Coq system. Therefore, we instanciate these frames for performing a semantic analysis of simple sentences. In particular, we rely on a hierarchy of types for type-checking the conceptual well-formedness of sentences. To do so, we investigate how to exploit the particular features of the Coq type system in order to take advantage of this elegant unifying framework for encoding the syntax-semantics interface and then we show how to improve our approach for combining it with linguistic resources distributed