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Existentially Closed Structures and Gödel's Second Incompleteness Theorem

✍ Scribed by Zofia Adamowicz and Teresa Bigorajska


Book ID
124978597
Publisher
Association for Symbolic Logic
Year
2001
Tongue
English
Weight
183 KB
Volume
66
Category
Article
ISSN
0022-4812

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📜 SIMILAR VOLUMES


Computational complexity and Gödel's inc
✍ Chaitin, G. J. 📂 Article 📅 1971 🏛 Association for Computing Machinery ⚖ 120 KB

Given any simply consistent formal theory F of the state complexity L(S) of finite binary sequences S as computed by 3-tape-symbol Turing machines, there exists a natural number L(F) such that L(S) > n is provable in F only if n < L(F). On the other hand, almost all finite binary sequences S satisfy