Can Complexity Theory Benefit from Learning Theory?

Abstract

We show that the results achieved within the framework of Computational Learning Theory are relevant enough to have non-trivial applications in other areas of Computer Science, namely in Complexity Theory. Using known results on efficient query-learnability of some Boolean concept classes, we prove several (co-NP-completeness) results on the complexity of certain decision problems concerning representability of general Boolean functions in special forms.

Cite

Text

Hegedüs. "Can Complexity Theory Benefit from Learning Theory?." European Conference on Machine Learning, 1993. doi:10.1007/3-540-56602-3_150

Markdown

[Hegedüs. "Can Complexity Theory Benefit from Learning Theory?." European Conference on Machine Learning, 1993.](https://mlanthology.org/ecmlpkdd/1993/hegedus1993ecml-complexity/) doi:10.1007/3-540-56602-3_150

BibTeX

@inproceedings{hegedus1993ecml-complexity,
  title     = {{Can Complexity Theory Benefit from Learning Theory?}},
  author    = {Hegedüs, Tibor},
  booktitle = {European Conference on Machine Learning},
  year      = {1993},
  pages     = {354-359},
  doi       = {10.1007/3-540-56602-3_150},
  url       = {https://mlanthology.org/ecmlpkdd/1993/hegedus1993ecml-complexity/}
}