Non-Commutative Arithmetic Circuits: Depth Reduction and Size Lower Bounds

Eric Allender, Jia Jiao, Meena Mahajan, V. Vinay. Non-Commutative Arithmetic Circuits: Depth Reduction and Size Lower Bounds. Theoretical Computer Science, 209(1-2):47-86, 1998. [doi]

@article{AllenderJMV98,
  title = {Non-Commutative Arithmetic Circuits: Depth Reduction and Size Lower Bounds},
  author = {Eric Allender and Jia Jiao and Meena Mahajan and V. Vinay},
  year = {1998},
  doi = {10.1016/S0304-3975(97)00227-2},
  url = {http://dx.doi.org/10.1016/S0304-3975(97)00227-2},
  researchr = {https://researchr.org/publication/AllenderJMV98},
  cites = {0},
  citedby = {0},
  journal = {Theoretical Computer Science},
  volume = {209},
  number = {1-2},
  pages = {47-86},
}