Archive for Mathematical Logic

, Volume 42, Issue 1, pp 89–101 | Cite as

Realizing Mahlo set theory in type theory

  • Michael Rathjen

Abstract.

 After introducing the large set notion of Mahloness, this paper shows that constructive set theory with an axiom asserting the existence of a Mahlo set has a realizability interpretation in an extension of Martin-Löf type theory developed by A. Setzer.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Michael Rathjen
    • 1
  1. 1.School of Mathematics, University of Leeds, Leeds LS2 9JT, UK. e-mail: rathjen@amsta.leeds.ac.ukGB

Personalised recommendations