English

Weak MSO+U with Path Quantifiers over Infinite Trees

Logic in Computer Science 2014-04-30 v1

Abstract

This paper shows that over infinite trees, satisfiability is decidable for weak monadic second-order logic extended by the unbounding quantifier U and quantification over infinite paths. The proof is by reduction to emptiness for a certain automaton model, while emptiness for the automaton model is decided using profinite trees.

Keywords

Cite

@article{arxiv.1404.7278,
  title  = {Weak MSO+U with Path Quantifiers over Infinite Trees},
  author = {Mikołaj Bojańczyk},
  journal= {arXiv preprint arXiv:1404.7278},
  year   = {2014}
}

Comments

version of an ICALP 2014 paper with appendices

R2 v1 2026-06-22T04:01:29.252Z