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Russian Mathematical Surveys, 2005, Volume 60, Issue 2, Pages 197–268
DOI: https://doi.org/10.1070/RM2005v060n02ABEH000823 (Mi rm1401) 		 
This article is cited in 77 scientific papers (total in 77 papers)

Reflection principles and provability algebras in formal arithmetic

L. D. Beklemishev

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (718 kB) Citations (77)
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DOI: https://doi.org/10.1070/RM2005v060n02ABEH000823
Abstract: 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.
Received: 11.01.2005
Russian version:
Uspekhi Matematicheskikh Nauk, 2005, Volume 60, Issue 2(362), Pages 3–78
DOI: https://doi.org/10.4213/rm1401
Bibliographic databases:
Document Type: Article
UDC: 510.23
MSC: Primary 03F45, 03F15, 03F30; Secondary 03F05, 03F40
Language: English
Original paper language: Russian
Citation: L. D. Beklemishev, “Reflection principles and provability algebras in formal arithmetic”, Uspekhi Mat. Nauk, 60:2(362) (2005), 3–78; Russian Math. Surveys, 60:2 (2005), 197–268
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/rm/v60/i2/p3
    • This publication is cited in the following 77 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1286
    Russian version PDF:625
    English version PDF:42
    References:94
    First page:3
     
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