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tate true or false:Statement: Every context free grammar can be transformed into an equvalent non deterministic push down automata.
- a)true
- b)false
Correct answer is option 'A'. Can you explain this answer?
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tate true or false:Statement: Every context free grammar can be transf...
Push down automata is the automaton machine for all the context free grammar or Type 2 languages.
Most Upvoted Answer
tate true or false:Statement: Every context free grammar can be transf...
Explanation:
Context-Free Grammar (CFG) and Non-Deterministic Pushdown Automata (PDA)
- A Context-Free Grammar (CFG) is a formal grammar that describes the syntax of a context-free language. It consists of a set of production rules that define the language's syntax.
- A Non-Deterministic Pushdown Automaton (PDA) is a theoretical model of computation that can recognize context-free languages. It has a stack for memory and can make non-deterministic choices during computation.
Equivalence between CFG and PDA
- It is true that every context-free grammar can be transformed into an equivalent non-deterministic pushdown automaton. This is known as the "Chomsky-Schützenberger theorem."
- The construction of a PDA from a CFG involves creating states in the PDA corresponding to non-terminals in the CFG, and transitions based on the production rules of the CFG.
- The PDA can simulate the behavior of the CFG by using its stack to keep track of the symbols being generated or expanded.
Conclusion
- The transformation from a CFG to an equivalent PDA allows us to analyze context-free languages using both formal grammar rules and automata theory.
- This relationship between CFGs and PDAs is fundamental in the study of formal languages and computational theory.
Context-Free Grammar (CFG) and Non-Deterministic Pushdown Automata (PDA)
- A Context-Free Grammar (CFG) is a formal grammar that describes the syntax of a context-free language. It consists of a set of production rules that define the language's syntax.
- A Non-Deterministic Pushdown Automaton (PDA) is a theoretical model of computation that can recognize context-free languages. It has a stack for memory and can make non-deterministic choices during computation.
Equivalence between CFG and PDA
- It is true that every context-free grammar can be transformed into an equivalent non-deterministic pushdown automaton. This is known as the "Chomsky-Schützenberger theorem."
- The construction of a PDA from a CFG involves creating states in the PDA corresponding to non-terminals in the CFG, and transitions based on the production rules of the CFG.
- The PDA can simulate the behavior of the CFG by using its stack to keep track of the symbols being generated or expanded.
Conclusion
- The transformation from a CFG to an equivalent PDA allows us to analyze context-free languages using both formal grammar rules and automata theory.
- This relationship between CFGs and PDAs is fundamental in the study of formal languages and computational theory.
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tate true or false:Statement: Every context free grammar can be transformed into an equvalent non deterministic push down automata.a)trueb)falseCorrect answer is option 'A'. Can you explain this answer?
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