Efficient Completion of Weighted Automata
arXiv:1609.03645 · doi:10.4204/EPTCS.225.8
Abstract
We consider directed graphs with edge labels from a semiring. We present an algorithm that allows efficient execution of queries for existence and weights of paths, and allows updates of the graph: adding nodes and edges, and changing weights of existing edges. We apply this method in the construction of matchbound certificates for automatically proving termination of string rewriting. We re-implement the decomposition/completion algorithm of Endrullis et al. (2006) in our framework, and achieve comparable performance.
In Proceedings TERMGRAPH 2016, arXiv:1609.03014