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On logics intermediate between intuitionistic and classical predicate logic

Published online by Cambridge University Press:  12 March 2014

Toshio Umezawa
Toshio Umezawa*
Affiliation:
Nagoya University, Nagoya, Japan
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Extract

In [1] and [2] I investigated logics intermediate between intuitionistic and classical propositional logic. In the present paper I shall study inclusion and non-inclusion between certain intermediate predicate logics. All the logics considered result from intuitionistic predicate logic by addition of classically valid axiom schemes.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 24 , Issue 2 , June 1959 , pp. 141 - 153
Copyright
Copyright © Association for Symbolic Logic 1959

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References

[1]Umezawa, T., Über die Zwischensysteme der Aussagenlogik, Nagoya mathematical journal, vol. 9 (1955), pp. 181–189.CrossRefGoogle Scholar
[2]Umezawa, T., On intermediate propositional logics, this Journal, vol. 24 (1959) pp. 20–36.Google Scholar
[3]Gentzen, G., Untersuchungen über das logische Schliessen, Mathematische Zeitschrift, vol. 39 (1934–1935), pp. 176–210, 405–431.CrossRefGoogle Scholar
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