COMPLETENESS OF THE GÖDEL–LÖB PROVABILITY LOGIC FOR THE FILTER SEQUENCE OF NORMAL MEASURES

Author:

GOLSHANI MOHAMMADORCID,ZOGHIFARD REIHANE

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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