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Whenever an algorithm has polynomial complexity, but exponential over the encoding of the input, it is said to be pseudo-polynomial.

What about logarithmic complexity? Wouldn't be wrong to refer to such algorithms as pseudo-polynomial (as often happens)? Shouldn't I instead refer to them as pseudo-logarithmic algorithms?

It seems to me that this latter kind of algorithms are way more efficient and worth to be destinquished. Am I right?

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    $\begingroup$ You're free to use any term you want, as long as you define it. In some cases a concept already has a name, and in such cases, it's usually a good idea to use it. $\endgroup$ Commented Dec 7, 2021 at 20:31
  • $\begingroup$ Thanks, but I meant something else. I rephrased my question. $\endgroup$ Commented Dec 8, 2021 at 9:29

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