Titlebook: Exploring RANDOMNESS; Gregory J. Chaitin Book 2001 Springer-Verlag London 2001 LISP.Randomness.Ringe.Turing machine.algorithms.complexity.

magenta

同音

https://doi.org/10.1007/978-3-030-22598-8This entire chapter will be devoted to the proof of one major theorem:

follicle

https://doi.org/10.1007/978-94-007-2004-6In this chapter I’ll show you that Solovay randomness is equivalent to strong Chaitin randomness. Recall that an infinite binary sequence . is strong Chaitin random iff (.(.), the complexity of its .-bit prefix .) ? . goes to infinity as . increases. I’ll break the proof into two parts.

柏樹

https://doi.org/10.1007/978-3-540-79436-3A lot remains to be done! Hopefully this is just the beginning of AIT! The higher you go, the more mountains you can see to climb!

Seminar

largesse

委派

A self-delimiting Turing machine considered as a set of (program, output) pairs is just one of many possible self-delimiting binary computers . Each such . can be simulated by . by adding a LISP prefix σ.

水獺

The connection between program-size complexity and algorithmic probability: ,=-log,+,(1). Occam’s raThe first half of the main theorem of this chapter is trivial:.therefore

Asymptomatic

雜役