English

Equivalence of pushdown automata via first-order grammars

Logic in Computer Science 2020-08-18 v2 Formal Languages and Automata Theory

Abstract

A decidability proof for bisimulation equivalence of first-order grammars is given. It is an alternative proof for a result by S\'enizergues (1998, 2005) that subsumes his affirmative solution of the famous decidability question for deterministic pushdown automata. The presented proof is conceptually simpler, and a particular novelty is that it is not given as two semidecision procedures but it provides an explicit algorithm that might be amenable to a complexity analysis.

Keywords

Cite

@article{arxiv.1812.03518,
  title  = {Equivalence of pushdown automata via first-order grammars},
  author = {Petr Jancar},
  journal= {arXiv preprint arXiv:1812.03518},
  year   = {2020}
}

Comments

version accepted to JCSS