On the Relations between Distributive Computability and the BSS Model

نویسنده

  • Sebastiano Vigna
چکیده

This paper presents an equivalence result between computability in the BSS model and in a suitable distributive category. It is proved that the class of functions R m ! R n (with n;m nite and R a commutative, ordered ring) computable in the BSS model, and the functions distributively computable over a natural distributive graph based on the operations of R coincide. Using this result, a new structural characterization, based on iteration, of the same functions is given.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 162  شماره 

صفحات  -

تاریخ انتشار 1996