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Cut-elimination and interpolation for Ω-logic

Cut-elimination and interpolation for Ω-logic In 1978, Girard introducedβ-logic to generalizeω-logic. The basic category ofβ-logic is the categoryON of ordinals. For geometric structure reasons, Girard changed the basic categoryON into the more general categoryWF of well-founded orders (1983). The logic he obtained was calledΩ-logic. Here, we extend (unpublished) results ofβ-logic toΩ-logic. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

Cut-elimination and interpolation for Ω-logic

Vauzeilles, Jacqueline
Archive for Mathematical Logic , Volume 27 (2) – Apr 19, 2005
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References (7)

Publisher
Springer Journals
Copyright
Copyright © 1988 by Springer-Verlag
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/BF01620764
Publisher site
See Article on Publisher Site

Abstract

In 1978, Girard introducedβ-logic to generalizeω-logic. The basic category ofβ-logic is the categoryON of ordinals. For geometric structure reasons, Girard changed the basic categoryON into the more general categoryWF of well-founded orders (1983). The logic he obtained was calledΩ-logic. Here, we extend (unpublished) results ofβ-logic toΩ-logic.

Journal

Archive for Mathematical Logic – Springer Journals

Published: Apr 19, 2005

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