English

An approximation notion between P and FPTAS

Computational Complexity 2026-05-08 v3

Abstract

We present an approximation notion for NP-hard optimization problems represented by binary functions. We prove that (assuming P != NP) the new notion is strictly stronger than FPTAS, but strictly weaker than having a polynomial-time algorithm.

Keywords

Cite

@article{arxiv.2603.17489,
  title  = {An approximation notion between P and FPTAS},
  author = {Samuel Bismuth and Erel Segal-Halevi},
  journal= {arXiv preprint arXiv:2603.17489},
  year   = {2026}
}

Comments

Fixed the error. Now the proof is valid

R2 v1 2026-07-01T11:25:45.531Z