Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-30T04:53:39.475Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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).

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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