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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.

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How do you handle numerical issues when converting optimization problems to decision problems?

The trick of converting an optimization problem to a decision problem is well-known - you add a real number input to the decision problem for thresholding. For example, this is taken from Wikipedia a …
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