Approximate counting in bounded arithmetic

نویسنده

  • Emil Jerábek
چکیده

We develop approximate counting of sets definable by Boolean circuits in bounded arithmetic using the dual weak pigeonhole principle (dWPHP(PV )), as a generalization of results from [15]. We discuss applications to formalization of randomized complexity classes (such as BPP , APP , MA, AM ) in PV1 + dWPHP(PV ).

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عنوان ژورنال:
  • J. Symb. Log.

دوره 72  شماره 

صفحات  -

تاریخ انتشار 2007