A Critique of Czerwinski's "Separation of PSPACE and EXP"

04/28/2023
by   Ian Clingerman, et al.
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Czerwinski's paper "Separation of PSPACE and EXP" [Cze21] claims to prove that PSPACE≠ EXP by showing there is no length-increasing polynomial-time reduction from a given EXP-complete set to a given PSPACE-complete set. However, in this critique, we show that there are fundamental flaws within the paper's approach and provide a counterexample to one of the paper's theorems, which makes the proposed proof that PSPACE≠ EXP insufficient.

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