Computational complexity and Gödel's inc
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Chaitin, G. J.
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Article
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1971
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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