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Polynomial-time Martin-Löf type theory

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Summary

Fragments of extensional Martin-Löf type theory without universes,ML 0, are introduced that conservatively extend S.A. Cook and A. Urquhart'sIPV ω. A model for these restricted theories is obtained by interpretation in Feferman's theory APP of operators, a natural model of which is the class of partial recursive functions. In conclusion, some examples in group theory are considered.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA

    Joseph L. Pe

  2. Department of Mathematics, Jackson State University, 39217, Jackson, MS, USA

    Joseph L. Pe

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  1. Joseph L. Pe
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Pe, J.L. Polynomial-time Martin-Löf type theory. Arch Math Logic 32, 137–150 (1992). https://doi.org/10.1007/BF01269954

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  • DOI: https://doi.org/10.1007/BF01269954

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