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Reduction to first degree in quantificational S5

Published online by Cambridge University Press:  12 March 2014

Michael J. Carroll
Michael J. Carroll*
Affiliation:
505 Cypress Point Drive #21, Mountain View, CA 94043
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Abstract

It is shown that the modally first-degree formulas of quantificational S5 constitute a reduction class.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 44 , Issue 2 , June 1979 , pp. 207 - 214
Copyright
Copyright © Association for Symbolic Logic 1979

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References

REFERENCES

[1]Church, Alonzo, Introduction to mathematical logic, Princeton University Press, Princeton, NJ, 1956.Google Scholar
[2]Hintikka, Jaakko, Distributive normal forms in first-order logic, Formal systems and recursive functions (Crossley, J.N. and Dummett, M.A.E., Editors), North-Holland, Amsterdam, 1965.Google Scholar
[3]Hughes, G. E. and Cresswell, M. J., An introduction to modal logic, Methuen, London, 1968.Google Scholar
[4]Fine, Kit, Model theory for modal logic, Part I. The de re ∣ de dicto distinction, Journal of Philosophical Logic, vol. 7 (1978).Google Scholar