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Tree algebra of sofic tree languages

Nathalie AubrunMarie-Pierre Béal — 2014

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We consider the languages of finite trees called tree-shift languages which are factorial extensible tree languages. These languages are sets of factors of subshifts of infinite trees. We give effective syntactic characterizations of two classes of regular tree-shift languages: the finite type tree languages and the tree languages which are almost of finite type. Each class corresponds to a class of subshifts of trees which is invariant by conjugacy. For this goal, we define a tree algebra which...

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