Logical aspects in the study of tree languages
Proc. of the conference on Ninth colloquium on trees in algebra and programming
Handbook of theoretical computer science (vol. B)
Handbook of logic in computer science (vol. 1)
An algebraic characterization of frontier testable tree languages
ICALP Selected papers of the twentieth international colloquium on Automata, languages and programming
Handbook of formal languages, vol. 3
Term rewriting and all that
General varieties of tree languages
Theoretical Computer Science
Automata, Languages, and Machines
Automata, Languages, and Machines
Varieties Of Formal Languages
Generalized Definite Tree Languages
MFCS '89 Proceedings on Mathematical Foundations of Computer Science 1989
Varieties of tree languages definable by syntactic monoids
Acta Cybernetica
Tree acceptors and some of their applications
Journal of Computer and System Sciences
Games for Temporal Logics on Trees
CIAA '08 Proceedings of the 13th international conference on Implementation and Applications of Automata
Recognisability for algebras of infinite trees
Theoretical Computer Science
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We consider several aspects of Wilke's [T. Wilke, An algebraic characterization of frontier testable tree languages, Theoret. Comput. Sci. 154 (1996) 85-106] tree algebra formalism for representing binary labelled trees and compare it with approaches that represent trees as terms in the traditional way. A convergent term rewriting system yields normal form representations of binary trees and contexts, as well as a new completeness proof and a computational decision method for the axiomatization of tree algebras. Varieties of binary tree languages are compared with varieties of tree languages studied earlier in the literature. We also prove a variety theorem thus solving a problem noted by several authors. Syntactic tree algebras are studied and compared with ordinary syntactic algebras. The expressive power of the language of tree algebras is demonstrated by giving equational definitions for some well-known varieties of binary tree languages.