- School of Historical and Philosophical Studies - Research Publications
School of Historical and Philosophical Studies - Research Publications
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ItemNo Preview AvailableOne way to face factsRestall, G (BLACKWELL PUBL LTD, 2004-07)
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ItemNo Preview AvailableJust What Is Full-Blooded Platonism?†RESTALL, G (Oxford University Press (OUP), 2003-02-01)
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ItemNo Preview AvailableThe geometry of non-distributive logicsRestall, G ; Paoli, F (CAMBRIDGE UNIV PRESS, 2005-12)Abstract In this paper we introduce a new natural deduction system for the logic of lattices, and a number of extensions of lattice logic with different negation connectives. We provide the class of natural deduction proofs with both a standard inductive definition and a global graph-theoretical criterion for correctness, and we show how normalisation in this system corresponds to cut elimination in the sequent calculus for lattice logic. This natural deduction system is inspired both by Shoesmith and Smiley's multiple conclusion systems for classical logic and Girard's proofnets for linear logic.