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Consider the grammar defined by the following production rules:
S → A * C
A → B + A | B
B → A – B | A
A → id
B → id
C → id
Which of the following is true?
- a)+ is left associative and has higher precedence than –
- b)+ is right associative and – is left associative
- c)+ is right associative and has higher precedence than *
- d)Both + and – are left associative
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Consider the grammar defined by the following production rules:S &rarr...
+ and – are both right associative and + has higher precedence than*. So the correct option is (c).
Most Upvoted Answer
Consider the grammar defined by the following production rules:S &rarr...
1. S -> aSb
2. S -> ε
This grammar generates strings of the form "a^n b^n" where n >= 0. The production rule S -> aSb represents the recursive definition of the grammar, where each "a" is matched with a corresponding "b". The production rule S -> ε allows for the possibility of an empty string.
Examples of strings generated by this grammar are:
- ε (empty string)
- ab
- aabb
- aaabbb
- aaaabbbb
This grammar can be used to generate languages such as {a^n b^n | n >= 0}, which represents the set of strings consisting of any number of "a"s followed by the same number of "b"s.
2. S -> ε
This grammar generates strings of the form "a^n b^n" where n >= 0. The production rule S -> aSb represents the recursive definition of the grammar, where each "a" is matched with a corresponding "b". The production rule S -> ε allows for the possibility of an empty string.
Examples of strings generated by this grammar are:
- ε (empty string)
- ab
- aabb
- aaabbb
- aaaabbbb
This grammar can be used to generate languages such as {a^n b^n | n >= 0}, which represents the set of strings consisting of any number of "a"s followed by the same number of "b"s.
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Consider the grammar defined by the following production rules:S → A * CA → B + A | BB → A – B | AA → idB → idC → idWhich of the following is true?a)+ is left associative and has higher precedence than –b)+ is right associative and – is left associativec)+ is right associative and has higher precedence than *d)Both + and – are left associativeCorrect answer is option 'C'. Can you explain this answer?
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Consider the grammar defined by the following production rules:S → A * CA → B + A | BB → A – B | AA → idB → idC → idWhich of the following is true?a)+ is left associative and has higher precedence than –b)+ is right associative and – is left associativec)+ is right associative and has higher precedence than *d)Both + and – are left associativeCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider the grammar defined by the following production rules:S → A * CA → B + A | BB → A – B | AA → idB → idC → idWhich of the following is true?a)+ is left associative and has higher precedence than –b)+ is right associative and – is left associativec)+ is right associative and has higher precedence than *d)Both + and – are left associativeCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the grammar defined by the following production rules:S → A * CA → B + A | BB → A – B | AA → idB → idC → idWhich of the following is true?a)+ is left associative and has higher precedence than –b)+ is right associative and – is left associativec)+ is right associative and has higher precedence than *d)Both + and – are left associativeCorrect answer is option 'C'. Can you explain this answer?.
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