Polarized and Focalized Linear and Classical Proofs

We give the precise correspondence between polarized linear logic and polarized classical logic. The properties of focalization and reversion of linear proofs are at the heart of our analysis: we show that the tq-protocol of normalization for the classical systems LK η pol and LK η,ρ pol perfectly fits normalization of polarized proof-nets. Some more semantical considera-tions allow to recover LC as a refinement of multiplicative LK η pol