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Testing the independence of a system of axioms, using a logical computer

Published online by Cambridge University Press:  24 October 2008

Eric Foxley
Eric Foxley
Affiliation:
The UniversityNottingham
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Extract

The object of this paper is to show how a well-known method of demonstrating the independence of one member of a system of axioms can be incorporated into a systematic method of testing for independence, suitable for solution on a logical computer of the type now being built at the University of Nottingham.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 3 , July 1961 , pp. 443 - 448
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Church, A.Conditioned disjunction as a primitive connective for the propositional calculus. Portug. math. 7 (1948), 87–90.Google Scholar
(2)Rose, A.The use of universal decision elements as flip-flops. Z. Math. Log. 4 (1948), 169–74.CrossRefGoogle Scholar
(3)Hilbert, D. and Ackermann, W.Mathematical logic (Chelsea, 1950).Google Scholar
(4)Rose, A.Many valued logical machines. Proc. Camb. Phil. Soc. 54 (1958), 307–21.CrossRefGoogle Scholar
(5)Rose, A.Conditioned disjunction as a primitive connective for the m-valued propositional calculus. Math. Ann. 123 (1951), 76–8.CrossRefGoogle Scholar