Abstract
In this paper we show that it is possible to classify most of the natural families of cuts considered to date in terms of a single hierarchy. This classification gives conservation and independence results for fragments of arithmetic.
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References
C. Dimitracopoulos, Doctorial thesis, Manchester. To appear.
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J. Paris & L. Kirby, "Σn-collection schemas in arithmetic". Logic Colloquium ’77, North Holland 1978, pp.199–209.
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© 1980 Springer-Verlag
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Paris, J.B. (1980). A hierarchy of cuts in models of arithmetic. In: Pacholski, L., Wierzejewski, J., Wilkie, A.J. (eds) Model Theory of Algebra and Arithmetic. Lecture Notes in Mathematics, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090171
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DOI: https://doi.org/10.1007/BFb0090171
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