An Mr-complete Extension of Trdb and Its Functional Interpretation

In this paper, we extend a functional interpretation to transnite types. To be more precise, we dene a modied realizability interpretation of a constructive arithmetic with a certain inductive denition and bar-induction. The system is called TRDB. We also give an extension of TRDB, which is called S, and show that S is a complete system with respect to the… CONTINUE READING