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Journal of Logic and Computation Advance Access published online on August 12, 2009
Journal of Logic and Computation, doi:10.1093/logcom/exp043
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© The Author, 2009. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Papers

A Topological Study of the Closed Fragment of GLP

Thomas Icard

Department of Philosophy, Stanford University, Stanford, California, USA.
E-mail: icard{at}stanford.edu

Received 2 February 2009.


  Abstract

In this article, we study the canonical model for the closed fragment of GLP and establish its precise relationship with a universal model constructed by Ignatiev. In particular, we effectively characterize the canonical model in terms of a coordinate system based on sequences of ordinals up to isin0.We then define a simple topological model of this logic by defining a natural polytopology on the ordinal isin0 itself.


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