[denismerigoux]

No, the language does not have self reflection, it is a domain specific language that is not even Turing complete. However Catala programs could be compiled to deep or shallow embeddings inside other programming languages, including inside theorem provers interactive (Coq, F*, Agda, etc.) or automatic (SMT solvers, abstract interpreters). You would then be able to reason about your Catala programs inside these external provers.