构想 发表于 2025-3-23 10:14:18
Random Semicomputable Reals Revisiteds in an elementary way, in particular requiring only basic knowledge of algorithmic randomness. We add also several simple observations relating lower semicomputable random reals and busy beaver functions.Narcissist 发表于 2025-3-23 17:00:26
http://reply.papertrans.cn/24/2321/232070/232070_12.png付出 发表于 2025-3-23 18:51:12
http://reply.papertrans.cn/24/2321/232070/232070_13.png玉米 发表于 2025-3-24 00:55:28
http://reply.papertrans.cn/24/2321/232070/232070_14.pngTRUST 发表于 2025-3-24 05:18:37
Computer Runtimes and the Length of Proofsested that theorem provers are subject to the same non-linear tradeoff between time and size as computer programs are, affording the possibility of determining optimal timeouts and waiting times in automatic theorem proving. I provide the statistics for some small choices of parameters for both of these systems.审问 发表于 2025-3-24 09:06:12
http://reply.papertrans.cn/24/2321/232070/232070_16.png吹牛大王 发表于 2025-3-24 11:30:01
http://reply.papertrans.cn/24/2321/232070/232070_17.pngFoolproof 发表于 2025-3-24 17:44:09
http://reply.papertrans.cn/24/2321/232070/232070_18.pngMITE 发表于 2025-3-24 19:07:38
http://reply.papertrans.cn/24/2321/232070/232070_19.png去才蔑视 发表于 2025-3-25 01:34:49
Luttinger liquids: the basic concepts,mechanical interpretation of algorithmic information theory. We demonstrate the power of the elaboration by revealing a critical phenomenon, i.e., a phase transition, in the statistical mechanical interpretation, which cannot be captured by the original notion of weak truth-table reducibility.