Non-deterministic branching programs with logarithmic repetition cannot efficiently compute small monotone CNFs

نویسندگان

  • Oded Lachish
  • Igor Razgon
چکیده

In this paper we establish an exponential lower bound on the size of syntactic non-deterministic read d-times branching programs for d ≤ log n/10 computing a class of monotone CNFs with a linear number of clauses. This result provides the first separation of classes NP and co-NP for syntactic branching programs with a logarithmic repetition and the first separation of syntactic non-deterministic branching programs with a logarithmic repetition from small monotone CNFs.

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عنوان ژورنال:
  • CoRR

دوره abs/1604.01560  شماره 

صفحات  -

تاریخ انتشار 2016