Secure Multi-Party Computation (MPC) is an important enabling technology for data privacy in modern distributed applications. We develop a new type theory to automatically enforce correctness,confidentiality, and integrity properties of protocols written in the \emph{Prelude/Overture} language framework. Judgements in the type theory are predicated on SMT verifications in a theory of finite fields, which supports precise and efficient analysis. Our approach is automated, compositional, scalable, and generalizes to arbitrary prime fields for data and key sizes.