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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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Is there any space(n) complete language?

If we consider only log-space reductions, can it be then that L (above) is also PSPACE-hard? (doesn't the padding trick suggest that we use polynomial-space reduction?)
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