This article investigates Krivine's realizability interpretation of classical second-order arithmetic and its recent extension handling countable choice. We will start by pre...
Abstract. We show how to extract existential witnesses from classical proofs using Krivine’s classical realizability—where classical proofs are interpreted as λ-terms with the...
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...