Abstract:The propositions-as-types correspondence is ordinarily presented as linking the metatheory of typed λ-calculi and the proof theory of intuitionistic logic. Griffin observed that this correspondence could be extended to classical logic through the use of control operators. This observation set off a flurry of further research, leading to the development of Parigot's λµ-calculus. In this work, we use the λµ-calculus as the foundation for a system of proof terms for classical first-order logic. In particular, we … Show more
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