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Informally, an algorithm is a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on algorithms, this tag may be used in conjunction with the approximation-algorithms, algorithmic-randomness and algorithmic-topology tags.

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Examples of Super-polynomial time algorithmic/induction proofs?

The Hydra game: http://math.andrej.com/2008/02/02/the-hydra-game/ I'm not sure if that counts as an "Ackermann-like recurrence" but the algorithm is super-duper-exponential and then some. It's no …
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