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arXiv · 2110.02786

Completeness of the G\"odel-L\"ob provability logic for the filter sequence of normal measures

Mohammad Golshani·Reihane Zoghifard
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Abstract

Assuming the existence of suitable large cardinals, we show it is consistent that the Provability logic $\mathbf{GL}$ is complete with respect to the filter sequence of normal measures. This result answers a question of Andreas Blass from 1990 and a related question of Beklemishev and Joosten.

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Mohammad Golshani, Reihane Zoghifard. 2021-10-06. Completeness of the G\"odel-L\"ob provability logic for the filter sequence of normal measures. https://arxiv.org/abs/2110.02786

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