Girard introduced phase semantics as a complete set-theoretic semantics of linear logic, and Okada modified phase-semantic completeness proofs to obtain normalform theorems. On the basis of these ...
We refine the interpolation property of the {˄, ˅, ¬}-fragment of classical propositional logic, showing that if ⊭ ¬𝜙, ⊭ 𝜓 and 𝜙 ⊨ 𝜓 then there is an interpolant 𝜒, constructed using at most ...