English

Width Hierarchy for k-OBDD of Small Width

Computational Complexity 2024-04-05 v2

Abstract

In this paper was explored well known model k-OBDD. There are proven width based hierarchy of classes of boolean functions which computed by k-OBDD. The proof of hierarchy is based on sufficient condition of Boolean function's non representation as k-OBDD and complexity properties of Boolean function SAF. This function is modification of known Pointer Jumping (PJ) and Indirect Storage Access (ISA) functions.

Cite

@article{arxiv.1502.04226,
  title  = {Width Hierarchy for k-OBDD of Small Width},
  author = {Kamil Khadiev},
  journal= {arXiv preprint arXiv:1502.04226},
  year   = {2024}
}

Comments

8 pages

R2 v1 2026-06-22T08:29:39.776Z