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Intuitionistic logic freed of all metarules

Published online by Cambridge University Press:  12 March 2014

Giovanna Corsi  and
Gabriele Tassi
Giovanna Corsi
Affiliation:
Dipartimento Di Filosofia, Universitá Di Bologna, Via Zamboni, 38, 1-40126 Bologna, Italy. E-mail: [email protected]
Gabriele Tassi
Affiliation:
Dipartimento Di Filosofia, Universitá Di Bologna, Via Zamboni, 38, 1-40126 Bologna, Italy. E-mail: [email protected]
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Abstract

In this paper we present two calculi for intuitionistic logic. The first one. IG, is characterized by the fact that every proof-search terminates and termination is reached without jeopardizing the subformula property. As to the second one, SIC, proof-search terminates, the subformula property is preserved and moreover proof-search is performed without any recourse to metarules, in particular there is no need to back-track. As a consequence, proof-search in the calculus SIC is accomplished by a single tree as in classical logic.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 72 , Issue 4 , December 2007 , pp. 1204 - 1218
Copyright
Copyright © Association for Symbolic Logic 2007

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References

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