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Displaying and Deciding Substructural Logics 1: Logics with Contraposition

“Displaying and Deciding Substructural Logics 1: Logics with Contraposition,” Journal of Philosophical Logic, 27 (1998) 179-216.

Many logics in the relevant family can be given a proof theory in the style of Belnap’s display logic. However, as originally given, the proof theory is essentially more expressive than the logics they seek to model. In this paper, we consider a modified proof theory which more closely models relevant logics. In addition, we use this proof theory to show decidability for a large range of substructural logics.

Details

Author: Greg Restall
Status: Published in 1998

Local file: display.pdf (375KB)

Subjects: decidability models proofs relevant logic sequents substructural logic

About

I’m Greg Restall, and this is my website. I work in Philosophy at the University of Melbourne. Email: greg at consequently.org; Post: School of of Philosophy, Anthropology and Social Inquiry, University of Melbourne, Parkville 3010, Australia.

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This site is handcoded: I write text in Textmate, and Webby files things in the right place and uploads them to the server. This page was last modified on 2009-01-03 at 09:50PM.

Thought

When I started writing this book, I intended to explain in the preface that this was the history of epistemology since Kant, the way Carnap would have written it had he been Hegel.
— Alberto Coffa’s preface to The Semantic Tradition from Kant to Carnap.