Counting as integration in feasible analysis

نویسندگان

  • Fernando Ferreira
  • Gilda Ferreira
چکیده

Suppose that it is possible to integrate real functions over a weak base theory related to polynomial time computability. Does it follow that we can count? The answer seems to be: obviously yes! We try to convince the reader that the severe restrictions on induction in feasible theories preclude a straightforward answer. Nevertheless, a more sophisticated reflection does indeed show that the answer is affirmative.

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عنوان ژورنال:
  • Math. Log. Q.

دوره 52  شماره 

صفحات  -

تاریخ انتشار 2006