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New Models of Bounded Induction Axioms

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Abstract

Models of the integers, yielding witnessing, independence, and separation results for weak systems of bounded induction, are suggested. Bibliography: 2 titles.

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REFERENCES

  1. S. R. Buss, Bounded Arithmetic, Bibliopolis, Naples (1986).

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  2. C. Pollett, “Multifunction algebras and the provability of PH↓,” Ann. Pure Appl. Logic, 104, 279–303 (2000).

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Authors and Affiliations

  1. CNRS and Paris 7 University, France

    S. Boughattas & J.-P. Ressayre

Authors
  1. S. Boughattas
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  2. J.-P. Ressayre
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 304, 2003, pp. 13–18.

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Boughattas, S., Ressayre, JP. New Models of Bounded Induction Axioms. J Math Sci 130, 4574–4577 (2005). https://doi.org/10.1007/s10958-005-0352-3

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  • DOI: https://doi.org/10.1007/s10958-005-0352-3

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