A Note on Karr's Algorithm

  title={A Note on Karr's Algorithm},
  author={Markus M{\"u}ller-Olm and Helmut Seidl},
We give a simple formulation of Karr’s algorithm for computi ng all affine relationships in affine programs. This simplified algo rithm runs in time O(nk3) wheren is the program size and k is the number of program variables assuming unit cost for arithmetic operations. This improve s upon the original formulation by a factor ofk. Moreover, our re-formulation avoids exponential growth of the lengths of intermediately occurring numbers ( in binary representation) and uses less complicated… CONTINUE READING
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