Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Consider the following augmented grammar:S -&...
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Consider the following augmented grammar:
S' ->.S
S ->.Aa/.bAc
A ->.d
How many rows are present in the parsing table of the LALR(1) parser?
S' ->.S
S ->.Aa/.bAc
A ->.d
How many rows are present in the parsing table of the LALR(1) parser?
Correct answer is '9'. Can you explain this answer?
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Most Upvoted Answer
Consider the following augmented grammar:S ->.SS ->.Aa/.bAcA -&g...
Understanding the Augmented Grammar
The given augmented grammar consists of the following productions:
- S -> .S
- S -> .Aa
- S -> .bAc
- A -> .d
The goal of an LALR(1) parser is to construct a parsing table that helps in the parsing process.
Identifying the States
To create the parsing table, we first need to derive the set of LR(0) items, which are the productions with a dot (.) indicating the position of the parser's reading head.
1. I0:
- S -> .S
- S -> .Aa
- S -> .bAc
- A -> .d
2. I1:
- S -> S.
3. I2:
- S -> Aa.
4. I3:
- S -> bA.
5. I4:
- A -> d.
6. I5:
- A -> .d
7. I6:
- S -> .S
8. I7:
- S -> .Aa
9. I8:
- S -> .bAc
Constructing the Parsing Table
Each state corresponds to a unique combination of these items. Each item in the parsing table requires both a state and a lookahead symbol, which determines the action to be taken (shift, reduce, accept).
- The total number of unique states identified is 9.
- Each state can have different actions based on the terminals and non-terminals.
Final Count of Rows
Thus, the parsing table for the LALR(1) parser contains 9 rows, each representing a unique state-action combination corresponding to the items derived from the grammar.
This leads to the conclusion that the correct answer is indeed 9 rows present in the parsing table.
The given augmented grammar consists of the following productions:
- S -> .S
- S -> .Aa
- S -> .bAc
- A -> .d
The goal of an LALR(1) parser is to construct a parsing table that helps in the parsing process.
Identifying the States
To create the parsing table, we first need to derive the set of LR(0) items, which are the productions with a dot (.) indicating the position of the parser's reading head.
1. I0:
- S -> .S
- S -> .Aa
- S -> .bAc
- A -> .d
2. I1:
- S -> S.
3. I2:
- S -> Aa.
4. I3:
- S -> bA.
5. I4:
- A -> d.
6. I5:
- A -> .d
7. I6:
- S -> .S
8. I7:
- S -> .Aa
9. I8:
- S -> .bAc
Constructing the Parsing Table
Each state corresponds to a unique combination of these items. Each item in the parsing table requires both a state and a lookahead symbol, which determines the action to be taken (shift, reduce, accept).
- The total number of unique states identified is 9.
- Each state can have different actions based on the terminals and non-terminals.
Final Count of Rows
Thus, the parsing table for the LALR(1) parser contains 9 rows, each representing a unique state-action combination corresponding to the items derived from the grammar.
This leads to the conclusion that the correct answer is indeed 9 rows present in the parsing table.
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Community Answer
Consider the following augmented grammar:S ->.SS ->.Aa/.bAcA -&g...
The DFA shown for the above grammar using LALR(1) parser is:
Hence, the correct answer is 9.
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Consider the following augmented grammar:S ->.SS ->.Aa/.bAcA ->.dHow many rows are present in the parsing table of the LALR(1) parser?Correct answer is '9'. Can you explain this answer?
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Consider the following augmented grammar:S ->.SS ->.Aa/.bAcA ->.dHow many rows are present in the parsing table of the LALR(1) parser?Correct answer is '9'. 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 the following augmented grammar:S ->.SS ->.Aa/.bAcA ->.dHow many rows are present in the parsing table of the LALR(1) parser?Correct answer is '9'. 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 the following augmented grammar:S ->.SS ->.Aa/.bAcA ->.dHow many rows are present in the parsing table of the LALR(1) parser?Correct answer is '9'. Can you explain this answer?.
Consider the following augmented grammar:S ->.SS ->.Aa/.bAcA ->.dHow many rows are present in the parsing table of the LALR(1) parser?Correct answer is '9'. 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 the following augmented grammar:S ->.SS ->.Aa/.bAcA ->.dHow many rows are present in the parsing table of the LALR(1) parser?Correct answer is '9'. 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 the following augmented grammar:S ->.SS ->.Aa/.bAcA ->.dHow many rows are present in the parsing table of the LALR(1) parser?Correct answer is '9'. Can you explain this answer?.
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