
TL;DR
This paper introduces a class of algebraic structures called branch-continuous tree algebras, designed to recognize regular languages of infinite trees, advancing the theoretical understanding of automata on infinite structures.
Contribution
It defines and analyzes branch-continuous tree algebras, providing a new algebraic framework for recognizing regular infinite tree languages.
Findings
Established properties of branch-continuous tree algebras.
Connected these algebras to automata theory for infinite trees.
Provided foundational results for future research in tree automata.
Abstract
We study a class of algebras that can be used as recognisers for regular languages of infinite trees.
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