The Chomsky Hierarchy is a classification of languages based on:a.Their expressiveness and generative power.b.Their alphabet size.c.Their decidability.d.The number of states in their automata.
Question
The Chomsky Hierarchy is a classification of languages based on:a.Their expressiveness and generative power.b.Their alphabet size.c.Their decidability.d.The number of states in their automata.
Solution
The Chomsky Hierarchy is a classification of languages based on their expressiveness and generative power. This hierarchy, proposed by Noam Chomsky, is a way to categorize languages based on the complexity of the grammars that generate them.
Here's a step-by-step breakdown:
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The Chomsky Hierarchy consists of four types of grammars (Type 0, Type 1, Type 2, Type 3), each corresponding to a type of language and a type of automaton that recognizes it.
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Type 0 grammars generate recursively enumerable languages, which are the most complex and expressive. These are recognized by a Turing machine.
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Type 1 grammars generate context-sensitive languages. These are recognized by a linear bounded automaton.
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Type 2 grammars generate context-free languages. These are recognized by a pushdown
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