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On Reducibility of Provability in the Primitive Logic [LO]

Published online by Cambridge University Press:  22 January 2016

Jiro Ito*
Affiliation:
Toyota Technical College
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In the present paper, we would like to show a theorem concerning with reducibility of provability in the primitive logic. This theorem seems to suggest a procedure to find the proof-note of a given proposition which is provable in the primitive logic.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

Ono, K., [1] On a practical way of describing formal deductions, Nagoya Math. J., 21 (1962), 115121.Google Scholar
[2] A certain kind of formal theories, Nagoya Math. J., 25 (1965), 5986.Google Scholar
[3] On universal character of the primitive logic, Nagoya Math. J., 27 (1966), 331353.Google Scholar
[4] Reduction of logics to the primitive logic, J, Math. Soc. Jap., Vol. 19, No. 3 (1967), 384398.Google Scholar
[5] A study on formal deductions in the primitive logic, Nagoya Math. J., 31 (1968), 114. J. Ito, [1] Studies on mechanical deductions part 1, Jour. Toyota Technical College, Vol. 1 (1968), 4149.Google Scholar