English

Model-Checking PCTL Properties of Stateless Probabilistic Pushdown Systems

Logic in Computer Science 2025-07-02 v21 Formal Languages and Automata Theory Logic

Abstract

In this communication, we resolve a longstanding open question in the probabilistic verification of infinite-state systems. We show that model checking {\it stateless probabilistic pushdown systems (pBPA)} against {\it probabilistic computational tree logic (PCTL)} is generally undecidable.

Cite

@article{arxiv.1405.4806,
  title  = {Model-Checking PCTL Properties of Stateless Probabilistic Pushdown Systems},
  author = {Deren Lin and Tianrong Lin},
  journal= {arXiv preprint arXiv:1405.4806},
  year   = {2025}
}

Comments

[v21] 3 figures revised

R2 v1 2026-06-22T04:18:08.476Z