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Turing Progressions and Their Well-Orders

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How the World Computes (CiE 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7318))

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Abstract

We see how Turing progressions are closely related to the closed fragment of GLP, polymodal provability logic. Next we study natural well-orders in GLP that characterize certain aspects of these Turing progressions.

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References

  1. Beklemishev, L.D.: Provability algebras and proof-theoretic ordinals, I. Annals of Pure and Applied Logic 128, 103–124 (2004)

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Author information

Authors and Affiliations

  1. Departamento de Filosofía y Lógica y Filosofía de la Ciencia, Universidad de Sevilla, Calle Camilo José Cela, sin número, Sevilla, 41018, Spain

    David Fernández Duque

  2. Departamento de Lógica, História i Filosofia de la Ciéncia, Universitat de Barcelona, Montalegre, 6, 08001, Barcelona, Catalonia, Spain

    Joost J. Joosten

Authors
  1. David Fernández Duque
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  2. Joost J. Joosten
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Leeds, LS2 9JT, Leeds, UK

    S. Barry Cooper

  2. Computer Laboratory, University of Cambridge, Willialm Gates Building, J.J. Thomson Avenue, CB3 0FD, Cambridge, UK

    Anuj Dawar

  3. Institute for Logic, Language and Computation, University of Amsterdam, 1090 GE, Amsterdam, The Netherlands

    Benedikt Löwe

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© 2012 Springer-Verlag Berlin Heidelberg

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Fernández Duque, D., Joosten, J.J. (2012). Turing Progressions and Their Well-Orders. In: Cooper, S.B., Dawar, A., Löwe, B. (eds) How the World Computes. CiE 2012. Lecture Notes in Computer Science, vol 7318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30870-3_21

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  • DOI: https://doi.org/10.1007/978-3-642-30870-3_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30869-7

  • Online ISBN: 978-3-642-30870-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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