Why are there so many loop formulas?

Vladimir Lifschitz, Alexander A. Razborov. Why are there so many loop formulas?. ACM Trans. Comput. Log., 7(2):261-268, 2006. [doi]

@article{LifschitzR06:0,
  title = {Why are there so many loop formulas?},
  author = {Vladimir Lifschitz and Alexander A. Razborov},
  year = {2006},
  doi = {10.1145/1131313.1131316},
  url = {http://doi.acm.org/10.1145/1131313.1131316},
  researchr = {https://researchr.org/publication/LifschitzR06%3A0},
  cites = {0},
  citedby = {0},
  journal = {ACM Trans. Comput. Log.},
  volume = {7},
  number = {2},
  pages = {261-268},
}