This is Greg Restall’s website, with news, writings, pictures, and links. For background see below.

Models for Substructural Arithmetics

“Models for Substructural Arithmetics,’ Miscellanea Logica, 1–20 (2009), edited by Marta Bílková.

This paper explores models for arithmetics in substructural logics. In the existing literature on substructural arithmetic, frame semantics for substructural logics are absent. We will start to fill in the picture in this paper by examining frame semantics for the substructural logics C (linear logic plus distribution), R (relevant logic) and CK (C plus weakening). The eventual goal is to find negation complete models for arithmetic in R.

This paper is dedicated to Professor Robert K. Meyer.

Details

Author: Greg Restall
Status: Published in 2009

Local file: mfsa.pdf (233KB)

Subjects: mathematics relevant logic 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.

Start at the home page—a summary of the site. The left column is news, archived on the news archive page. The central column is for photos, archived on the occasional photos page. The right column contains recent items from the writing page, which lists my publications. These are also categorised by topic. You can follow my links at my account on delicious and occasional short snarky remarks at @consequently on twitter.

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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 2010-02-16 at 11:03PM.

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.