A Complete Dependency Pair Framework for Almost-Sure Innermost Termination of Probabilistic Term Rewriting
Logic in Computer Science
2024-03-01 v4
Abstract
Recently, the well-known dependency pair (DP) framework was adapted to a dependency tuple framework in order to prove almost-sure innermost termination (iAST) of probabilistic term rewrite systems. While this approach was incomplete, in this paper, we improve it into a complete criterion for iAST by presenting a new, more elegant definition of DPs for probabilistic term rewriting. Based on this, we extend the probabilistic DP framework by new transformations. Our implementation in the tool AProVE shows that they increase its power considerably.
Keywords
Cite
@article{arxiv.2309.00344,
title = {A Complete Dependency Pair Framework for Almost-Sure Innermost Termination of Probabilistic Term Rewriting},
author = {Jan-Christoph Kassing and Stefan Dollase and Jürgen Giesl},
journal= {arXiv preprint arXiv:2309.00344},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2305.11741