Rosser provability and the second incompleteness theorem

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.

23 pages

References in corpus (1)

• Rosser provability and normal modal logics

Cited by in corpus (2)

• Current research on Gödel's incompleteness theorems
• On the depth of Gödel's incompleteness theorem