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Titlebook: Labelled Deduction; David Basin,Marcello D’Agostino,Luca Viganò Book 2000 Springer Science+Business Media Dordrecht 2000 cognitive science

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Labelled Proof Systems for Intuitionistic Provability,net and on the definition of suitable labelled classical proof-nets, allows to directly study the intuitionistic provability by constructing intuitionistic proof-nets for sequents of classical linear logic.
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Labelled Abduction, yielding an abductive system for function free clausal logic. LDS resolution and reduction inference rules are given together with their first order semantics and shown to correspond to standard abduction.
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Labelled Deduction for the Guarded Fragment,nteresting PSPACE complete sub-fragment of the guarded fragment, which is generally conceived of as the true modal fragment of first order logic. A PROLOG implementation of this calculus is available through the WWW.
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