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The arithmetic theory of constructions

Intuitionism

Part of the Lecture Notes in Mathematics book series (LNM,volume 337)

Keywords

  • Level Zero
  • Sequent Calculus
  • Inductive Definition
  • Arithmetic Theory
  • Closed Term

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References

  1. N. D. Goodman, A theory of constructions equivalent to arithmetic, in: Intuitionism and Proof Theory, ed. A. Kino, J. Myhill, and R. E. Vesley (North-Holland, Amsterdam, 1970) 101–120.

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  2. N. D. Goodman, A simplification of combinatory logic, to appear in J. Symb. Log.

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  3. W. W. Tait, Functionals defined by transfinite recursion, J. Symb. Log., 30(1965) 155–174.

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© 1973 Springer-Verlag

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Goodman, N.D. (1973). The arithmetic theory of constructions. In: Mathias, A.R.D., Rogers, H. (eds) Cambridge Summer School in Mathematical Logic. Lecture Notes in Mathematics, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066778

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  • DOI: https://doi.org/10.1007/BFb0066778

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05569-3

  • Online ISBN: 978-3-540-36884-7

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