On the conservation results for local reflection principles
Author:
Affiliation:
1. College of Science and Engineering, School of Mathematics and Physics , Kanazawa University, Kakuma, Kanazawa 920-1192, Japan
2. Graduate School of System Informatics, Kobe University , 1-1 Rokkodai, Nada, Kobe 657-8501, Japan
Abstract
Publisher
Oxford University Press (OUP)
Subject
Logic,Hardware and Architecture,Arts and Humanities (miscellaneous),Software,Theoretical Computer Science
Link
https://academic.oup.com/logcom/advance-article-pdf/doi/10.1093/logcom/exad076/55030849/exad076.pdf
Reference19 articles.
1. Derivability conditions on Rosser’s provability predicates;Arai;Notre Dame Journal of Formal Logic,1990
2. Notes on local reflection principles;Beklemishev;Theoria,1997
3. Reflection principles and provability algebras in formal arithmetic;Beklemishev;Russian Mathematical Surveys,2005
4. Equivalence relations induced by extensional formulae: classification by means of a new fixed point property;Bernardi;Fundamenta Mathematicae,1984
5. Interpretability of various extensions of arithmetic;Goryachev;Mathematical Notes,1986
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