A proof-theoretic view of necessity

Reinhard Kahle

pp. 659-673

in: Proof-theoretic semantics, Synthese 148 (3), 2006.

Abstract

We give a reading of binary necessity statements of the form “ϕ is necessary for ψ” in terms of proofs. This reading is based on the idea of interpreting such statements as “Every proof of ψ uses ϕ”.