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About some symmetries of negation

Published online by Cambridge University Press:  12 March 2014

Brigitte Hösli  and
Gerhard Jäger
Brigitte Hösli
Affiliation:
Institute für Theoretische Informatik, ETH Zürich, CH-8092 Zürich, Switzerland, E-mail: hoesli@inf.ethz.ch
Gerhard Jäger
Affiliation:
Institut für Informatik und Angewandte Mathematik, Universität Bern, CH-3012 Bern, Swizterland, E-mail: jaeger@iam.unibe.ch
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Abstract

This paper deals with some structural properties of the sequent calculus and describes strong symmetries between cut-free derivations and derivations, which do not make use of identity axioms. Both of them are discussed from a semantic and syntactic point of view.

Identity axioms and cuts are closely related to the treatment of negation in the sequent calculus, so the results of this article explain some nice symmetries of negation.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 2 , June 1994 , pp. 473 - 485
Copyright
Copyright © Association for Symbolic Logic 1994

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References

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