Realization of analysis into Explicit Mathematics
Sergei Tupailo · Journal of Symbolic Logic · 2001
Abstract. We define a novel interpretation of second order arithmetic into Explicit Mathematics. As a difference from standard -interpretation, which was used before and was shown to interpret only subsystems proof-theoretically weaker than T0. our interpretation can reach the full strength of T0. The -interpretation is an adaptation of Kleene's recursive readability, and is applicable only to intuitionistic theories.