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Turing pseudo-incompleteness

Turing pseudo-incompleteness

Posted Sep 19, 2020 16:37 UTC (Sat) by smurf (subscriber, #17840)
In reply to: Lua in the kernel? by HelloWorld
Parent article: Lua in the kernel?

Just to put that into perspective. The number of possible states of your computer is 2^2³⁷, if we assume 16 GBytes of RAM. That's a 456562320870-digit number, which I won't paste here for obvious reasons.

The number of distinct states a single computer can ever reach is about 2^(64*8+32+24+30), the exponent consisting of word size, #cores, and the log2 of cycles per seconds, seconds per year, and years until the Earth gets boiled into oblivion by way of the Sun going all red giant on us, respectively.

598 is about 200 million times smaller than 2³⁷.


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