New foundations for the geometry of interaction (Q1327394)

J.-Y. Girard defined interpretation of (derivations in) linear logic in \(C^*\)-algebras. This allowed him to write an explicit formula for cut- elimination which works for a subsystem. The authors propose an alternative categorical interpretation based on elementary domain theory, which works for the whole second-order linear logic. Girard's formula is replaced by a least fixed-point.