Geodesic
Reflection principles and provability algebras in~formal arithmetic
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 2, pp. 197-268

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper is a study of reflection principles in fragments of formal Peano arithmetic and their applications to the comparison and classification of arithmetical theories. 
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     author = {L. D. Beklemishev},
     title = {Reflection principles and provability algebras in~formal arithmetic},
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L. D. Beklemishev. Reflection principles and provability algebras in~formal arithmetic. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 2, pp. 197-268. http://geodesic.mathdoc.fr/item/RM_2005_60_2_a0/