Additional Key Words and Phrases: complexity of sets, computational complexity, difficulty of theorem-proving, entropy of sets, formal systems, G\"odel's incompleteness theorem, halting problem, information content of sets, information content of axioms, information theory, information time trade-offs, metamathematics, random strings, recursive functions, recursively enumerable sets, size of proofs, universal computers
Selected references
- Shen Lin and Tibor Rado. Computer studies of Turing machine problems. Journal of the ACM, 12(2):196-212, April 1965.
- D. W. Loveland. A variant of the Kolmogorov concept of complexity. Information and Control, 15(6):510-526, December 1969.
- D. W. Loveland. On minimal-program complexity measures. In Conference Record of ACM Symposium on Theory of Computing, pages 61-65, Marina del Rey, California, 5-7 May 1969.
- David G. Willis. Computational complexity and probability constructions. Journal of the ACM, 17(2):241-259, April 1970.