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Prawitz D. Validity and normalizability of proofs in 1-st and 2-nd order classical and intuitionistic logic. In Atti del I Congresso Italiano di Logica, Napoli, Bibliopolis, 11-36, 1981. This article was processed using the L A T E X macro package with LLNCS style

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Extracting Constructive Content from Classical Logic via.. - Barbanera, Berardi   (13 citations)  (Correct)

....is possible because a triple negation is intuitionistically equivalent to a negation. The name Prawitz style reductions comes out of the fact that the rules of the group we dubbed with such a name are quite similar to the reductions defined by Prawitz to show the consistency of classical logic [12]. Rule C 00 R is an instance of the general rule E[CM ] 1 M(x:E[x] for continuations and has been introduced in order to deal with the case of the elimination of negation. It is easy to see that the system we have defined does not have the Church Rosser property. This means that we will be ....

Prawitz D. Validity and normalizability of proofs in 1-st and 2-nd order classical and intuitionistic logic. In Atti del I Congresso Italiano di Logica, Napoli, Bibliopolis, 11-36, 1981. This article was processed using the L A T E X macro package with LLNCS style


A Strong Normalization Result for Classical Logic - Barbanera, Berardi (1995)   (4 citations)  (Correct)

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D. Prawitz, Validity and normalizability of proofs in 1-st and 2nd order classical and intuitionistic logic, in: Atti del I Congresso Italiano di Logica (Bibliopolis, Napoli, 1981).

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