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Consider the following grammar G.
S → F ⎪ H
F → p ⎪ c
H → d ⎪ c
Q. Where S, F and H are non-terminal symbols, p, d and c are terminal symbols. Which of the following statement(s) is/are correct?
S1: LL(1) can parse all strings that are generated using grammar G.
S2: LR(1) can parse all strings that are generated using grammar G.
  • a)
    Only S1
  • b)
    Only S2
  • c)
    Both S1 and S2
  • d)
    Neither S1 and S2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following grammar G.S → F ⎪ HF → p [...
 
The given grammar is ambiguous as there are two possible leftmost derivations for string "c".
First Leftmost Derivation
S → F
F → c
Second Leftmost Derivation
S → H
H → c
An Ambiguous grammar can neither be LL(1) nor LR(1)
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Most Upvoted Answer
Consider the following grammar G.S → F ⎪ HF → p [...
Understanding the Grammar G
The given grammar G is defined as follows:
- S → F
- F → HF
- F → p
- H → d
- H → cQ
This grammar contains non-terminal symbols S, F, and H, and terminal symbols p, d, and c.

Assessing LL(1) Parsing
- **LL(1) Parsing** relies on a single look-ahead token and requires the grammar to be free of ambiguity and left recursion.
- The production rules suggest that this grammar is **left-recursive** (due to F → HF and F → p), making it unsuitable for LL(1) parsing.

Assessing LR(1) Parsing
- **LR(1) Parsing** can handle a broader class of grammars, including those with left recursion.
- However, the ambiguity present in the grammar (e.g., the multiple expansions of H) can lead to conflicts in the parsing table.
- This ambiguity means that LR(1) might also struggle with certain string derivations.

Conclusion
- Given the characteristics of the grammar, it is evident that:
- **S1** (LL(1) parsing capability) is incorrect due to left recursion.
- **S2** (LR(1) parsing capability) is also incorrect due to ambiguity.
Thus, the correct answer is **option D**, indicating that neither S1 nor S2 holds true for grammar G.
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Consider the following grammar G.S → F ⎪ HF → p ⎪ cH → d ⎪ cQ.Where S, F and H are non-terminal symbols, p, d and c are terminal symbols. Which of the following statement(s) is/are correct?S1: LL(1) can parse all strings that are generated using grammar G.S2: LR(1) can parse all strings that are generated using grammar G.a)Only S1b)Only S2c)Both S1 and S2d)Neither S1 and S2Correct answer is option 'D'. Can you explain this answer?
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