Classical Logic = Fibred MLL

dc.creatorHughes, Dominic
dc.date2005-04-01
dc.date.accessioned2026-07-07T05:18:44Z
dc.date.available2026-07-07T05:18:44Z
dc.descriptionThis paper represents classical propositional proofs as *combinatorial proofs*, which are more abstract than proof nets: superposition (contraction/weakening) is modelled mathematically, as a lax form of fibration, rather than syntactically (as in proof nets, which involve contraction and weakening nodes). A combinatorial proof is a `fibred' multiplicative linear proof net, hence the slogan in the title. Cut elimination retains its richness from sequent calculus: its non-determinism does not collapse to become confluent. [Note: this is merely a 2-page synopsis, accepted for a short presentation at Logic in Computer Science '05.]
dc.description2 pages. Accepted for short presentation at Logic in Computer Science '05
dc.identifierhttps://arxiv.org/abs/math/0504028
dc.identifierhttp://arxiv.org/abs/math/0504028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74767
dc.subjectLogic
dc.subject03B05; 03F52
dc.titleClassical Logic = Fibred MLL
dc.typetext

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