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On formulas in which no individual variable occurs more than twice

Published online by Cambridge University Press:  12 March 2014

Stanisław Jaśkowski
Stanisław Jaśkowski*
Affiliation:
Nicolaus Copernicus University, Toruń Institute of Mathematics of the Polish Academy of Science
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Extract

In Jaśkowski [1], some properties of the consequences of formulas of the sentential calculus with no more than two occurrences of any variable have been settled. Analogous problems may be raised concerning the consequences of equalities in which the same restriction relates to individual variables. In the present paper, problems of this kind are solved and more general theorems are proved about the logical consequences of some formulas, called here multiconditionals.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 31 , Issue 1 , March 1966 , pp. 1 - 6
Copyright
Copyright © Association for Symbolic Logic 1996

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References

[1]Jaśkowski, S., Über Tautologien, in welchen keine Variable mehr als zweimal vorkommt, Zeitschrift für mathematische Logik und Grundlagen der Mathematik, vol. 9 (1963), pp. 219–228.CrossRefGoogle Scholar
[2]Tarski, A., Über einige fundamentale Begriffe der MetaMathematik, Comptes rendus des séances de la Société des Sciences et des Lettres de Varsovie, vol. 23 (1930), pp. 22–29.Google Scholar
[3]Tarski, A., Fundamentale Begriffe der Metodologie der deduktiven Wissenschaften. I, Monatshefte für Mathematik und Physik, vol. 37 (1930), pp. 361–404.CrossRefGoogle Scholar