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Degrees of Formal Systems

✍ Scribed by J. R. Shoenfield

Book ID: 124950637
Publisher: Association for Symbolic Logic
Year: 1958
Tongue: English
Weight: 178 KB
Volume: 23
Category: Article
ISSN: 0022-4812
DOI: 10.2307/2964013

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This is motivated by the formula (P 0 Z)-1 = P-'(l + P-'(P 0 z -P)-1 = P-' c [-P-l(P 0 2 -P)].. Proof: We first show that vq = 6 + [v,,]~~+~ + . -€9;. When p = 0 this is true with respect to the term ("q"pp of v. Let p # 0; then The first term has d, = d,(tmqnpP) -1 and d, = d,(E"qnpP). Thus d ,5 j