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Independence of Rose's axioms for m-valued implication

Published online by Cambridge University Press:  12 March 2014

Ernest Edmonds
Ernest Edmonds*
Affiliation:
The University, Nottingham, England
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Extract

Rose has shown in [2] that the following axioms are sufficient, with modus ponens, for m-valued Łukasiewiczian implication.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 2 , 25 July 1969 , pp. 283 - 284
Copyright
Copyright © Association for Symbolic Logic 1969

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References

[1] McCall, S. and Meyer, R. K., Pure three valued Łukasiewiczian implication, this Journal , vol. 31 (1966), pp. 399–405.Google Scholar
[2] Rose, Alan, Formalisation du calcul propositionnel implicatif à m valeurs de Łukasiewicz, Comptes rendus des séances de la société des sciences et des lettres de Varsovie, vol. 243 (1956), pp. 2263–2264.Google Scholar