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* In [[algorithmic information theory]], the complexity of a particular string in terms of all algorithms that generate it.
* In [[algorithmic information theory]], the complexity of a particular string in terms of all algorithms that generate it.
** [[Kolmogorov complexity|Solomonoff-Kolmogorov–Chaitin complexity]], the most widely used such measure.
** [[Kolmogorov complexity|Solomonoff-Kolmogorov–Chaitin complexity]], the most widely used such measure.
* In [[Computational complexity theory]], although it would be a non-formal usage of term, the time/space complexity of a particular problem in terms of all algorithms that solve it with computational resources (i.e., time or space) bounded by a function of the input's size.
* In [[Computational complexity theory]], although it would be a non-formal usage of the term, the time/space complexity of a particular problem in terms of all algorithms that solve it with computational resources (i.e., time or space) bounded by a function of the input's size.
** Or it may refer to the time/space complexity of a particular algorithm with respect to solving a particular problem (as above), which is a notion commonly found in [[analysis of algorithms]].
** Or it may refer to the time/space complexity of a particular algorithm with respect to solving a particular problem (as above), which is a notion commonly found in [[analysis of algorithms]].



Revision as of 17:07, 4 December 2020

Algorithmic complexity may refer to:

  • In algorithmic information theory, the complexity of a particular string in terms of all algorithms that generate it.
  • In Computational complexity theory, although it would be a non-formal usage of the term, the time/space complexity of a particular problem in terms of all algorithms that solve it with computational resources (i.e., time or space) bounded by a function of the input's size.
    • Or it may refer to the time/space complexity of a particular algorithm with respect to solving a particular problem (as above), which is a notion commonly found in analysis of algorithms.