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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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Time Hierarchy Theorem and P vs NP

If P != NP then there are definitely NP-intermediate problems (problems outside P but not NP-hard). This is called "Ladner's theorem". For more info, see: https://en.wikipedia.org/wiki/NP-intermedi …
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