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Which of the following are related to tree automaton?

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Which of the following are related to tree automaton?

(a) Myphill Nerode Theorem

(b) State machine

(c) Courcelle’s Theorem

(d) All of the mentioned

The question was posed to me in a national level competition.

This is a very interesting question from Properties-Non Regular Languages topic in section Regular Expressions and Languages of Automata Theory

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The correct choice is (d) All of the mentioned

The explanation is: The myphill nerode theorem can be generalized to trees and an application of tree automata prove an algorithmic meta theorem about graphs.

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