English

Determining Implication of Fixed Matrix Prenex Normal Forms Can Be Decided in Linear Time

Data Structures and Algorithms 2025-04-23 v1 Discrete Mathematics

Abstract

For a fixed arbitrary matrix depending on nn variables, one may ask whether a Prenex Normal Form (PNF) implies another. A RAM algorithm running in linear time is presented and shown to be asymptotically optimal.

Keywords

Cite

@article{arxiv.2504.15294,
  title  = {Determining Implication of Fixed Matrix Prenex Normal Forms Can Be Decided in Linear Time},
  author = {Adam Wang},
  journal= {arXiv preprint arXiv:2504.15294},
  year   = {2025}
}
R2 v1 2026-06-28T23:06:10.768Z