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The separation theorem of intuitionist propositional calculus1

Published online by Cambridge University Press:  12 March 2014

Alfred Horn
Alfred Horn*
Affiliation:
University of California, Los Angeles
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Extract

A standard set of axioms for the intuitionist propositional calculus is the following (we associate to the right, and use the convention that ⊃ binds less strongly than the other connectives).

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 27 , Issue 4 , December 1962 , pp. 391 - 399
Copyright
Copyright © Association for Symbolic Logic 1962

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Footnotes

1

This paper was written in the period of a National Science Foundation grant.

References

[1] Church, A., Introduction to mathematical logic, vol. 1, Princeton, (Princeton University Press), 1956.Google Scholar
[2] Curry, H. B., A note on the reduction of Gentzen's calculus LJ, Bulletin of the American Mathematical Society, Vol. 45 (1939), pp. 288–293.CrossRefGoogle Scholar
[3] Rasiowa, H. and Sikorski, R., Algebraic treatment of the notion of satisfiability, Fundamenta mathematical Vol. 40 (1953), pp. 62–95.CrossRefGoogle Scholar
[4] Wajsberg, M., Untersuchungen über den AussagenkalkiÜ von A. Heyting, Wiadomości matematyczne, Vol. 46 (1938), pp. 45–101.Google Scholar