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This is a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic computational models; regular languages; context-free languages; Komolgorov Complexity and so on.
3
votes
What is the easiest randomized algorithm to motivate to the layperson?
Multiplication checking: is $ab$ equal to $c$ (or is $a(x)b(x)$ equal to $c(x)$)? Analysis of randomized solution is pretty easy; also it provides a huge gap in asymptotic compared to straightforward …