An extension of the omega-rule

Author:

Akiyoshi Ryota,Mints Grigori

Publisher

Springer Science and Business Media LLC

Subject

Logic,Philosophy

Reference17 articles.

1. Akiyoshi, R.: Complete cut-elimination theorem for $$\Omega _{\mu +1}$$ Ω μ + 1 -rule. (2011, preprint)

2. Akiyoshi, R.: An ordinal-free proof of the complete cut-elimination theorem for $$\Pi ^{1}_{1}$$ Π 1 1 - $$CA+BI$$ C A + B I with the $$\omega $$ ω -rule. (2013, preprint)

3. Arai, T.: A subsystem of classical analysis proper to Takeuti’s reduction method for $$\Pi ^{1}_{1}$$ Π 1 1 -analysis. Tsukuba J. Math. 9(1), 21–29 (1985)

4. Lecture Notes in Mathematics;W Buchholz,1981

5. Buchholz, W.: Explaining Gentzen’s consistency proof within infinitary proof theory. In: Gottlob, G., Leitsch, A., Mundici, D. (eds.) Proceedings of the 5th Kurt Gödel colloquium on computational logic and proof theory, vol. 1289, pp. 4–17. Springer, Berlin (1997)

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