The Completeness theorem establishes an equivalence in first-order logic, between the formal provability of a formula, and its truth in all possible models.

* MPC Java-based implementation A Java-based implementation of the MPC protocol based on Michael. B, Shafi. G and Avi. W's theorem (" Completeness theorems for non-cryptographic fault-tolerant distributed computation ") with Welch-Berlekamp error correcting code algorithm to BCH codes.