On the expressive power of schemes

نویسندگان

  • Gilles Dowek
  • Ying Jiang
چکیده

We present a calculus, called the scheme-calculus, that permits to express natural deduction proofs in various theories. Unlike λ-calculus, the syntax of this calculus sticks closely to the syntax of proofs, in particular, no names are introduced for hypotheses. We show that despite its nondeterminism, this scheme-calculus has the same expressivity as the corresponding typed λ-calculus.

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عنوان ژورنال:
  • Inf. Comput.

دوره 209  شماره 

صفحات  -

تاریخ انتشار 2011