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Realizing Mahlo set theory in type theory

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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.

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Authors and Affiliations

  1. School of Mathematics, University of Leeds, Leeds LS2 9JT, UK. e-mail: rathjen@amsta.leeds.ac.uk, , , , , , GB

    Michael Rathjen

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  1. Michael Rathjen
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Received: 5 September 2000 Published online: 19 December 2002

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Rathjen, M. Realizing Mahlo set theory in type theory. Arch. Math. Logic 42, 89–101 (2003). https://doi.org/10.1007/s00153-002-0159-6

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  • DOI: https://doi.org/10.1007/s00153-002-0159-6

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