magenta 发表于 2025-3-25 06:00:20
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https://doi.org/10.1007/978-3-030-22598-8This entire chapter will be devoted to the proof of one major theorem:follicle 发表于 2025-3-25 11:45:28
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.柏树 发表于 2025-3-25 19:02:45
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 发表于 2025-3-25 20:09:20
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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.水獭 发表于 2025-3-26 08:56:15
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:.thereforeAsymptomatic 发表于 2025-3-26 13:58:21
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