this post was submitted on 24 Apr 2024
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There are subfields of computer science dedicated to this question. A good starting point for the theory would be Pessimal algorithms and simplexity analysis, which lays out two concepts:
For example, common folklore is that sorting has
O(n lg n)
time complexity, depending on assumptions. In the paper, they give that sorting hasΩ(n ** (lg n / 2))
time simplexity; any algorithm which takes more time, like bogosort, must do so through some sort of trickery like non-determinism or wasting time via do-nothing operations.