The search functionality is under construction.

Keyword Search Result

[Keyword] fooling set(1hit)

1-1hit
  • Exponential Lower Bounds on the Size of Variants of OBDD Representing Integer Division

    Takashi HORIYAMA  Shuzo YAJIMA  

     
    PAPER-Algorithm and Computational Complexity

      Vol:
    E81-D No:8
      Page(s):
    793-800

    An Ordered Binary Decision Diagram (OBDD) is a directed acyclic graph representing a Boolean function. The size of OBDDs largely depends on the variable ordering. In this paper, we show the size of the OBDD representing the i-th bit of the output of n-bit/n-bit integer division is Ω ( 2(n-i)/8 ) for any variable ordering. We also show that -OBDDs, -OBDDs and -OBDDs representing integer division has the same lower bounds on the size. We develop new methods for proving lower bounds on the size of -OBDDs, -OBDDs and -OBDDs.