Recognisability for algebras of infinite trees |
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Authors: | Achim Blumensath |
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Affiliation: | TU Darmstadt, Schloßgartenstraße 7, 64289 Darmstadt, Germany |
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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. |
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Keywords: | Infinite trees Recognisability Tree automata Monadic second-order logic |
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