Closure properties of the family of languages defined by systolic tree automata
Computers and Artificial Intelligence
Synthesis, structure and power of systolic computations
Theoretical Computer Science - Special issue: Fifteenth international colloquium on automata, languages and programming, Tampere, Finland, July 1988
A Kleene theorem for infinite trace languages
Proceedings of the 18th international colloquium on Automata, languages and programming
Computer
A characterization of context-free languages
Journal of Computer and System Sciences
Chomsky Hierarchy And Systolic Y-Tree Automata
Fundamenta Informaticae
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We present a Kleen-like characterization of the class of languages accepted by systolic binary tree automata, L(SBTA). This characterization uses union, intersection, restricted concatenation, restricted concatenation closure, and finite substitution closure. The restrictions we impose on the operator of concatenation are purely in terms of the length of the words to be concatenated.