Olivier Laurent, Myriam Quatrini, and Lorenzo Tortora de Falco.
Polarized and focalized linear and classical proofs.
Annals of Pure and Applied Logic, 2000.
to appear.
We give the precise correspondence between polarized linear
logic and polarized classical logic. The properties of focalization and
reversion of linear proofs citeAndrPar,lc,lktq are at the heart of
our analysis: we show that the tq-protocol of normalization
for the classical systems LKe and LKer perfectly fits
normalization of polarized proof-nets. In section refisos, some more
semantical considerations allow to recover LC as a reinement of
multiplicative LKe
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