𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Computational complexity and Gödel's incompleteness theorem

✍ Scribed by Chaitin, G. J.


Book ID
125441650
Publisher
Association for Computing Machinery
Year
1971
Weight
120 KB
Volume
9
Category
Article
ISSN
0163-5700

No coin nor oath required. For personal study only.


📜 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