Normal forms for derivations in Arai's \(\text{AI}_\xi^-\) (Q1277150)
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scientific article; zbMATH DE number 1247879
| Language | Label | Description | Also known as |
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| English | Normal forms for derivations in Arai's \(\text{AI}_\xi^-\) |
scientific article; zbMATH DE number 1247879 |
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Normal forms for derivations in Arai's \(\text{AI}_\xi^-\) (English)
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2 February 1999
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In a previous paper [Tsukuba J. Math. 21, 285-304 (1997; Zbl 0895.03024)], the author extended a normalization theorem due to the reviewer [Ann. Pure Appl. Log. 62, 65-79 (1993; Zbl 0786.03040)] to obtain a statement implying \(\omega\)-consistency of first-order arithmetic PA. Now he extends statements and proofs to theories of \(\xi\) times iterated inductive definitions.
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normalization theorem
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inductive definitions
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