The Myhill-Nerode Theorem for Recognizable Tree Series
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In this paper we prove a Myhill-Nerode theorem for recognizable tree series over commutative semifields and thereby present a minimization of bottom-up finite state weighted tree automata over a commutative semifield, where minimal means with respect to the number of states among all equivalent, deterministic devices.
KeywordsFormal Power Series Tree Representation Congruence Relation Tree Series Tree Automaton
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