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Abstract: . Following the idea that a classical proof is a superimposition of `constructive' proofs, we use the linear connective "&" to define an embedding P a of polarized but non-constrained LK in linear logic, which induces a denotational semantics. A classical cut-elimination step is now a cut-elimination step in one of the `constructive slices' superimposed by the classical proof. 1 Introduction Much work has been done in the past 6-7 years to extract the computational content from classical... (Update)
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BibTeX entry: (Update)
@misc{ falco-denotational,
author = "Lorenzo Tortora de Falco",
title = "Denotational semantics for polarized (but non-constrained) LK by means
of the additives",
url = "citeseer.ist.psu.edu/248100.html" }
Citations (may not include all citations):982 Theoretical Computer Science (context) - Girard - 1987
72 A new constructive logic: classical logic (context) - Girard - 1991
57 A new deconstructive logic: linear logic - Danos, Joinet et al. - 1995
13 Free Deduction: an analysis of computation in classical logi.. (context) - Parigot - 1991
8 A Symmetric Lambda Calculus (context) - Barbanera, Berardi - 1995
8 Polarisation des preuves classiques et renversement - Quatrini, Tortora - 1996
1 Lecture Notes in Artificial Intelligence (context) - Schellinx, Tortora et al. - 1996
1 Reversion and isomorphisms in classical logic: from LK j pol.. (context) - Quatrini, Tortora - 1996
1 Electronic Notes in Theoretical Computer Science (context) - de Falco, Generalized et al. - 1996
Documents on the same site (http://boole.logique.jussieu.fr/www.tortora/papers.html): More
Polarisation Des Preuves Classiques Et Renversement - Quatrini, De Falco (1996) (Correct)
Strong Normalization for all-style LK^tq (Extended Abstract) - Joinet, al. (Correct)
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