On the complexity of the closed fragment of Japaridze's provability logic (1305.6065v1)

Published 26 May 2013 in math.LO

Abstract: We consider well-known provability logic GLP. We prove that the GLP-provability problem for variable-free polymodal formulas is PSPACE-complete. For a number n, let L^n_0 denote the class of all polymodal variable-free formulas without modalities <n>, <n+1>,... . We show that, for every number n, the GLP-provability problem for formulas from L^n_0 is in PTIME.

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Authors (1)

Fedor Pakhomov

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