English

What is a POLYNOMIAL-TIME Computable L2-Function?

Computational Complexity 2026-02-03 v1 Numerical Analysis Numerical Analysis

Abstract

We give two natural definitions of polynomial-time computability for L2 functions; and we show them incomparable (unless complexity class FP_1 includes #P_1).

Cite

@article{arxiv.2601.17078,
  title  = {What is a POLYNOMIAL-TIME Computable L2-Function?},
  author = {Aras Bacho and Svetlana Selivanova and Martin Ziegler},
  journal= {arXiv preprint arXiv:2601.17078},
  year   = {2026}
}