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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 358, Pages 153–188 (Mi znsl2150)  
This article is cited in 5 scientific papers (total in 5 papers)

The Lengths of Proofs: Kreisel's conjecture and Gödel's speed-up theorem

S. Cavagnetto

Mathematical Institute, Academy of Sciences of the Czech Republic
Full-text PDF (364 kB) Citations (5)
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Abstract: We collect and compare several results which have been obtained so far in the attempts to prove a statement conjectured by Kreisel, about the lengths of proofs. We also survey several results regarding a speed-up theorem announced by Gödel in an abstract published in 1936. Finally we connect this to Kreisel's conjecture. Bibl. – 63 titles.
Received: 08.05.2007
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 158, Issue 5, Pages 689–707
DOI: https://doi.org/10.1007/s10958-009-9408-0
Bibliographic databases:
UDC: 510.662
Language: English
Citation: S. Cavagnetto, “The Lengths of Proofs: Kreisel's conjecture and Gödel's speed-up theorem”, Studies in constructive mathematics and mathematical logic. Part XI, Zap. Nauchn. Sem. POMI, 358, POMI, St. Petersburg, 2008, 153–188; J. Math. Sci. (N. Y.), 158:5 (2009), 689–707
Citation in format AMSBIB
\Bibitem{Cav08}
\by S.~Cavagnetto
\paper The Lengths of Proofs: Kreisel's conjecture and G\"odel's speed-up theorem
\inbook Studies in constructive mathematics and mathematical logic. Part~XI
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 358
\pages 153--188
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2150}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 158
\issue 5
\pages 689--707
\crossref{https://doi.org/10.1007/s10958-009-9408-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349117073}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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