3 ms·
Well my contention is that K(x) is constant, in fact K(x) = 0. The problem with fixing L is that it 'biases' the complexity based on the language chosen.
by Ono-Sendai 13y ago
Well my contention is that K(x) is constant, in fact K(x) = 0.
The problem with fixing L is that it 'biases' the complexity based on the language chosen.
- shasta 13y agoThat bias with a fixed L is present, but you already mentioned the answer in your article: the difference is bounded. Compare to the situation with algorithm complexity. We usually don't attempt to talk about the running time of merge sort by fixing a reference machine on which to do an instruction count. We instead introduce Big-Oh and agree to ignore the differences in constants.
- gwern 13y ago> We usually don't attempt to talk about the running time of merge sort by fixing a reference machine on which to do an instruction count. Unless you're Knuth!
- Ono-Sendai 13y agoThe difference is not really bounded in a meaningful way. The bound is large enough that the complexity can go to zero in some language.