Complexity of Conjugacy, Factoring and Embedding for Countable Sofic Shifts of Rank 2
Dynamical Systems
2014-08-29 v1 Computational Complexity
Formal Languages and Automata Theory
Abstract
In this article, we study countable sofic shifts of Cantor-Bendixson rank at most 2. We prove that their conjugacy problem is complete for GI, the complexity class of graph isomorphism, and that the existence problems of block maps, factor maps and embeddings are NP-complete.
Keywords
Cite
@article{arxiv.1408.6695,
title = {Complexity of Conjugacy, Factoring and Embedding for Countable Sofic Shifts of Rank 2},
author = {Ville Salo and Ilkka Törmä},
journal= {arXiv preprint arXiv:1408.6695},
year = {2014}
}
Comments
14 pages, 1 figure. to appear in the postceedings of AUTOMATA 2014, published by Springer