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Recognisability for algebras of infinite trees
Authors:Achim Blumensath
Affiliation:
  • TU Darmstadt, Schloßgartenstraße 7, 64289 Darmstadt, Germany
  • Abstract:We develop an algebraic language theory for languages of infinite trees. We define a class of algebras called ω-hyperclones and we show that a language of infinite trees is regular if, and only if, it is recognised by a finitary path-continuous ω-hyperclone.
    Keywords:Infinite trees   Recognisability   Tree automata   Monadic second-order logic
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