Rosser provability and the second incompleteness theorem

2019/02/19 by Kurahashi, Taishi · 2 citations
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1902.06863

Abstract

This paper is a continuation of Arai's paper on derivability conditions for Rosser provability predicates. We investigate the limitations of the second incompleteness theorem by constructing three different Rosser provability predicates satisfying several derivability conditions.

Cited by

• Modal logical aspects of provability predicates and consistency statements
• Refinements of provability and consistency principles for the second incompleteness theorem

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• Refinements of provability and consistency principles for the second incompleteness theorem