Focalisation and Classical Realisability

Abstract

We develop a polarised variant of Curien and Herbelin’s λ̄μμ̃ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised when cut-free), such as Girard’s classical logic LC or linear logic. This gives a setting in which Krivine’s classical realisability extends naturally (in particular to callby-value… (More)
DOI: 10.1007/978-3-642-04027-6_30

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