English

LSM is not generated by binary functions

Computational Complexity 2012-06-22 v2

Abstract

The material in this note is now superseded by arXiv:1108.5288v4. Bulatov et al. [1] defined the operation of (efficient) pps_\omega-definability in order to study the computational complexity of certain approximate counting problems. They asked whether all log-supermodular functions can be defined by binary implication and unary functions in this sense. We give a negative answer to this question.

Cite

@article{arxiv.1110.0461,
  title  = {LSM is not generated by binary functions},
  author = {Colin McQuillan},
  journal= {arXiv preprint arXiv:1110.0461},
  year   = {2012}
}

Comments

Superseded by arXiv:1108.5288v4

R2 v1 2026-06-21T19:14:24.974Z