On the computational content of the axiom of choice

We present a possible computational content of the negative translation of classical analysis with the Axiom of (countable) Choice. Interestingly, this interpretation uses a refinement of the realizability semantics of the absurdity proposition, which is nor interpreted as the empty type here. We also show how to compute witnesses from proofs in classical analysis of There Exists-statements and how to extract algorithms from proofs of For All There Exists-statements. Our interpretation seems computationally more direct than the one based on Godel's Dialectica interpretation.