English

Matrix Insertion-Deletion Systems

Formal Languages and Automata Theory 2010-12-24 v1 Computational Complexity Computation and Language Discrete Mathematics

Abstract

In this article, we consider for the first time the operations of insertion and deletion working in a matrix controlled manner. We show that, similarly as in the case of context-free productions, the computational power is strictly increased when using a matrix control: computational completeness can be obtained by systems with insertion or deletion rules involving at most two symbols in a contextual or in a context-free manner and using only binary matrices.

Keywords

Cite

@article{arxiv.1012.5248,
  title  = {Matrix Insertion-Deletion Systems},
  author = {Ion Petre and Sergey Verlan},
  journal= {arXiv preprint arXiv:1012.5248},
  year   = {2010}
}
R2 v1 2026-06-21T17:03:40.970Z