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Which of the following is sufficient to convert an arbitrary Context Free Grammar (CFG) to an LL(1) grammar?
- a)Ambiguity
- b)Left Recursion
- c)Left Factoring
- d)None of the above
Correct answer is option 'D'. Can you explain this answer?
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Which of the following is sufficient to convert an arbitrary Context F...
LL(1) Grammar: The first 'L' refers to scanning of input from Left to Right, the second 'L' refers to producing the Leftmost Derivation and the (1) stands for using only 1 lookahead input symbol at each step to make parsing action decisions. Hence, a context-free grammar G = (VT, VN, S, P) whose parsing table has no multiple entries is said to be LL(1) Grammar.
LL(1) Conflicts:
- Checking whether a grammar is ambiguous or not is undecidable.
- A grammar can be LL(1) only if it is not ambiguous, not left recursive and it must not contain left factoring and vice-versa is not necessary.
- Any regular language can be LL(1) is true statement since we can write regular grammar which follows the above conflict.
Since a grammar is LL(1) only if it does not contain left recursion, ambiguity and left factoring, hence, to convert an arbitrary CFG to LL(1), all the three should be eliminated
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Which of the following is sufficient to convert an arbitrary Context F...
Converting an Arbitrary CFG to an LL(1) Grammar
To convert an arbitrary Context Free Grammar (CFG) to an LL(1) grammar, certain transformations need to be applied to eliminate conflicts and make the grammar suitable for LL(1) parsing.
Reasons for the Options:
- Ambiguity: Ambiguity in a grammar does not directly affect its LL(1) nature. Ambiguous grammars can still be converted to LL(1) form by resolving the ambiguity.
- Left Recursion: Left recursion in a grammar can cause issues in LL(1) parsing, but eliminating left recursion is not the only step needed to convert a CFG to LL(1) form.
- Left Factoring: Left factoring is a technique used to remove common prefixes in productions, which can help in LL(1) parsing. However, left factoring alone may not be sufficient to convert an arbitrary CFG to an LL(1) grammar.
Solution:
The process of converting an arbitrary CFG to an LL(1) grammar involves a combination of steps such as:
1. Eliminating left recursion
2. Left factoring
3. Constructing predictive parsing table
4. Resolving any conflicts
By carefully applying these transformations and ensuring that the resulting grammar is suitable for LL(1) parsing, it is possible to convert an arbitrary CFG to an LL(1) grammar. Therefore, the correct answer is option 'D' - None of the above.
To convert an arbitrary Context Free Grammar (CFG) to an LL(1) grammar, certain transformations need to be applied to eliminate conflicts and make the grammar suitable for LL(1) parsing.
Reasons for the Options:
- Ambiguity: Ambiguity in a grammar does not directly affect its LL(1) nature. Ambiguous grammars can still be converted to LL(1) form by resolving the ambiguity.
- Left Recursion: Left recursion in a grammar can cause issues in LL(1) parsing, but eliminating left recursion is not the only step needed to convert a CFG to LL(1) form.
- Left Factoring: Left factoring is a technique used to remove common prefixes in productions, which can help in LL(1) parsing. However, left factoring alone may not be sufficient to convert an arbitrary CFG to an LL(1) grammar.
Solution:
The process of converting an arbitrary CFG to an LL(1) grammar involves a combination of steps such as:
1. Eliminating left recursion
2. Left factoring
3. Constructing predictive parsing table
4. Resolving any conflicts
By carefully applying these transformations and ensuring that the resulting grammar is suitable for LL(1) parsing, it is possible to convert an arbitrary CFG to an LL(1) grammar. Therefore, the correct answer is option 'D' - None of the above.
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Which of the following is sufficient to convert an arbitrary Context Free Grammar (CFG) to an LL(1) grammar?a)Ambiguityb)Left Recursionc)Left Factoringd)None of the aboveCorrect answer is option 'D'. Can you explain this answer?
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