An Optimal Parallel Algorithm for Formula Evaluation

@article{Buss1992AnOP,
  title={An Optimal Parallel Algorithm for Formula Evaluation},
  author={Samuel R. Buss and Stephen A. Cook and Akash Gupta and V. Ramachandran},
  journal={SIAM J. Comput.},
  year={1992},
  volume={21},
  pages={755-780}
}
A new approach to Buss’s NC algorithm [Bus87] for evaluation of Boolean formulas is presented. This problem is shown to be complete for NC over AC reductions. This approach is then used to solve the more general problem of evaluating arithmetic formulas using arithmetic circuits. 

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A fast parallel algorithm for recognition of parenthesis languages

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  • Master’s thesis, University of Toronto,
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A taxonomy of problems with fast parallel algorithms

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