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Admissible and derivable rules in intuitionistic logic

Published online by Cambridge University Press:  04 March 2009

Paul Rozière
Paul Rozière
Affiliation:
Equipe de Logique, CNRS UA 753, Universitè Paris 7, 2 place Jussieu, 75230 PARIS cedex 05, France. [email protected]
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Abstract

This paper gives some sufficient conditions for admissible rules to be derivable in intuitionistic propositional calculus. For example, if the premises are Harrop formulas, the rule is admissible only if it is derivable.

In deriving the results, a particular class of substitutes is introduced, which are also useful when dealing with other questions of admissibility.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 3 , Issue 2 , June 1993 , pp. 129 - 136
Copyright
Copyright © Cambridge University Press 1993

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