Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-28T17:09:36.590Z Has data issue: false hasContentIssue false
  • English
  • Français

On the period of sequences (An(p)) in intuitionistic propositional calculus

Published online by Cambridge University Press:  12 March 2014

Wim Ruitenburg
Wim Ruitenburg*
Affiliation:
New Mexico State University, Las Cruces, New Mexico 88003
Get access Rights & Permissions [Opens in a new window]

Abstract

In classical prepositional calculus for each proposition A(p) the following holds: ⊢A(p) ↔ A3(p). In this paper we consider what remains of this in the intuitionistic case. It turns out that for each proposition A(p) the following holds: there is an n ∈ N such that

As a byproduct of the proof we give some theorems which may be useful elsewhere in propositional calculus.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 49 , Issue 3 , September 1984 , pp. 892 - 899
Copyright
Copyright © Association for Symbolic Logic 1984

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.)

References

REFERENCES

[1]Nishimura, I., On formulas in one variable in intuitionistic propositional calculus, this Journal, vol. 25 (1960), pp. 327–331.Google Scholar
[2]Smoryński, C., Applications of the Kripke models, in [3, pp. 324–391].Google Scholar
[3]Troelstra, A. S. (editor), Metamathematical investigation of intuitionistic arithmetic and analysis, Lecture Notes in Mathematics, vol. 344, Springer-Verlag, Berlin, 1973.CrossRefGoogle Scholar