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Consider these three grammars.
Which of the following statements is not true?
  • a)
    If w can be generated by G1, then it can be generated by G2.
  • b)
    If w can be generated by G2, then it can be generated by G3.
  • c)
    If w can be generated by G3, then it can be generated by G1.
  • d)
    If w can be generated by G2, then it can be generated by G1.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider these three grammars.Which of the following statements is not...
In G1, T can take the form of v * v * v * v * v ....
In G2, R can take the form * v * v * v ...,  so T can take the form of v * v * v * v ....
Thus, in both G1 and G2, E can take the form v * v * v + v * v * v * v + v * v ....
These are the algebraic expressions involving only addition and multiplication.
In G3, T can take the form v * v * v * v, so R can take the form + v * v + v * v. Thus, through the production E ! T R, E can take the form of any arithmetic expression.
However, E can also take the form of non-arithmetic expressions,
as with E --> R --> + T R --> + v R --> + v + T R ---> + v + v R --> + v + v.
In addition, G3 can generate ε , which G1 and G2 cannot.
Thus, while G1 and G2 generate the same language,
G3 generates a somewhat larger language. Incidentally, G1 demonstrates left-recursion because it contains productions of the form X --> X  α ( in addition to non-problematic productions of the form   X --> β ).
Left recursion can be eliminated by introducing a helper non-terminal R and changing the grammar to read
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Consider these three grammars.Which of the following statements is not true?a)If w can be generated by G1, then it can be generated by G2.b)If w can be generated by G2, then it can be generated by G3.c)If w can be generated by G3, then it can be generated by G1.d)If w can be generated by G2, then it can be generated by G1.Correct answer is option 'C'. Can you explain this answer?
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Consider these three grammars.Which of the following statements is not true?a)If w can be generated by G1, then it can be generated by G2.b)If w can be generated by G2, then it can be generated by G3.c)If w can be generated by G3, then it can be generated by G1.d)If w can be generated by G2, then it can be generated by G1.Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider these three grammars.Which of the following statements is not true?a)If w can be generated by G1, then it can be generated by G2.b)If w can be generated by G2, then it can be generated by G3.c)If w can be generated by G3, then it can be generated by G1.d)If w can be generated by G2, then it can be generated by G1.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider these three grammars.Which of the following statements is not true?a)If w can be generated by G1, then it can be generated by G2.b)If w can be generated by G2, then it can be generated by G3.c)If w can be generated by G3, then it can be generated by G1.d)If w can be generated by G2, then it can be generated by G1.Correct answer is option 'C'. Can you explain this answer?.
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