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The Chomsky Hierarchy

The Chomsky Hierarchy. Unrestricted Grammars:. Productions. String of variables and terminals. String of variables and terminals. Example unrestricted grammar:. Theorem:. A language is recursively enumerable if and only if is generated by an unrestricted grammar.

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The Chomsky Hierarchy

The Chomsky Hierarchy. The Chomsky Hierarchy. Non-recursively enumerable. Recursively-enumerable. Recursive. Context-sensitive. Context-free. Regular. Decidability. Consider problems with answer YES or NO . Examples:. Does Machine have three states ?.

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Exercise: ( aa )* | ( aaa )*

Exercise: ( aa )* | ( aaa )*. Construct automaton and eliminate epsilons . Determinization : Subset Construction. keep track of a set of all possible states in which automaton could be view this finite set as one state of new automaton Apply to ( aa )* | ( aaa )*

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Construct machine - PowerPoint PPT Presentation

The Chomsky Hierarchy

The Chomsky Hierarchy

Exercise: ( aa )* | ( aaa )*