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Strong normalization for arithmetic

Variations on a theme of prawitz

Part of the Lecture Notes in Mathematics book series (LNM,volume 500)

Keywords

  • Induction Hypothesis
  • Natural Deduction
  • Elimination Rule
  • Replacement Rule
  • Strong Normalization

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References

  • G. GENTZEN [36], Die Widerspruchsfreiheit der einen Zahlentheorie, Math. Ann., 112 (1936) 493–565.

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  • D. LEIVANT [73], Existential instantiation in a system of natural deduction for intuitiouistic arithmetic, Report ZW 13/73, Mathematisch Centrum, Amsterdam, 1973.

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  • E.G.K. LOPEZ-ESCOBAR [74], Elementary interpretations of negationless arithmetic, Fund. Math. 82 (1974) 25–38.

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  • D. PRAWITZ [65], Natural Deduction, Stockholm, 1965.

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  • D. PRAWITZ [71], Ideas and results of proof-theory, in: FENSTAD (ed.), Proceedings of the 2nd Scandinavian logic symposium, Amsterdam, 1971, pp. 235–307.

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  • A.S. TROELSTRA [73], Metamathematical investigation of intuitiouistic arithmetic and analysis, Berlin etc., 1973.

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  • A.S. TROELSTRA [74], Note on the fan theorem, Report 74-14, University of Amsterdam, Sept. 1974.

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  • J. ZUCKER [74], Cut-elimination and normalization, Annals of Math. Logic 7 (1974) 1–112. *** DIRECT SUPPORT *** A00J4136 00005

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© 1975 Springer-Verlag

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Leivant, D. (1975). Strong normalization for arithmetic. In: Diller, J., Müller, G.H. (eds) ⊨ISILC Proof Theory Symposion. Lecture Notes in Mathematics, vol 500. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079552

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  • DOI: https://doi.org/10.1007/BFb0079552

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07533-2

  • Online ISBN: 978-3-540-38020-7

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