Wadge Degrees of Classes of omega-Regular k-Partitions
Combinatorics
2021-04-22 v1 Formal Languages and Automata Theory
Abstract
We develop a theory of k-partitions of the set of infinite words recognizable by classes of finite automata. The theory enables to complete proofs of existing results about topological classifications of the (aperiodic) omega-regular k-partitions and provides tools for dealing with other similar questions. In particular, we characterize the structure of Wadge degrees of (aperiodic) omega-regular -partitions, prove the decidability of many related problems, and discuss their complexity.
Keywords
Cite
@article{arxiv.2104.10358,
title = {Wadge Degrees of Classes of omega-Regular k-Partitions},
author = {Victor Selivanov},
journal= {arXiv preprint arXiv:2104.10358},
year = {2021}
}