unconditional


P vs. PSPACE ★★★

Author(s): Folklore

Problem   Is there a problem that can be computed by a Turing machine in polynomial space and unbounded time but not in polynomial time? More formally, does P = PSPACE?

Keywords: P; PSPACE; separation; unconditional

Unconditional derandomization of Arthur-Merlin games ★★★

Author(s): Shaltiel; Umans

Problem   Prove unconditionally that $ \mathcal{AM} $ $ \subseteq $ $ \Sigma_2 $.

Keywords: Arthur-Merlin; Hitting Sets; unconditional

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