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5 votes
3 answers
1k views

Is There An Algorithmic Complexity Of A Random Distribution

Has anyone studied an equivalent to algorithmic complexity for probability distributions? This would be a measure which was similar to Kolmogorov complexity but look at the complexity of a (discreet ...
Joseph Soulbringer's user avatar
3 votes
1 answer
293 views

Relationship between P-noncomputable and P-random sets

$P$ means polynomial complexity. $S_p$ is the class of all $P$_random set, and $S_{pc}$ is the class of all $P$ noncomputable sets, is $S_p \bigcap S_{pc}$ empty? If not empty, any example? what is ...
XL _At_Here_There's user avatar
1 vote
0 answers
127 views

Does relationship between c.e.set, productive set, immune set, ML-random set exist between sets of class of other level

Is relationship between c.e.set, productive set, immune set, ML-random set similar to relationship between polynomial complexity set, polynomial complexity-productive set, P-immune set, P-random set?
XL _At_Here_There's user avatar
0 votes
1 answer
118 views

Are all $P$-noncomputable sets $P$-random? [duplicate]

$P$ means polynomial complexity. $S_p$ is class of all $P$_random sets, and $S_{pc}$ is class of all $P$ incomputable sets, is $S_{pc} \setminus S_p$ empty? If not empty, any example? what is the ...
XL _At_Here_There's user avatar