English

Cut-elimination and the decidability of reachability in alternating pushdown systems

Logic in Computer Science 2014-10-31 v1

Abstract

We give a new proof of the decidability of reachability in alternating pushdown systems, showing that it is a simple consequence of a cut-elimination theorem for some natural-deduction style inference systems. Then, we show how this result can be used to extend an alternating pushdown system into a complete system where for every configuration AA, either AA or ¬A\neg A is provable.

Keywords

Cite

@article{arxiv.1410.8470,
  title  = {Cut-elimination and the decidability of reachability in alternating pushdown systems},
  author = {Gilles Dowek and Ying Jiang},
  journal= {arXiv preprint arXiv:1410.8470},
  year   = {2014}
}