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Intermediate

Mapping the Chomsky Hierarchy

#computer-science #automata-theory #grammar #computation

Categorize different types of grammars and automata according to the Chomsky hierarchy and their processing power.

Define the four levels of the Chomsky hierarchy (Type-0 to Type-3). For each level, specify the corresponding grammar type, the automaton required to recognize it, and provide a theoretical example of a language that belongs to that class. Discuss the limitations of Type-3 grammars compared to Type-2.