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Consider the given SDT which will be executed in connection with a bottom-up parser. For the input babbba, what will be the final output?


S →aS { print “x”}


S →bS { print “y”}


S →a { print “z”}


S →b { print “z”}

  • a)
    zxyyyx

  • b)
    zyxxxy

  • c)
    zyyyxy

  • d)
    zxxxyx

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the given SDT which will be executed in connection with a bot...
To determine the final output for the input "babbba" using the given Syntax Directed Translation (SDT) rules executed in connection with a bottom-up parser, we need to perform the following steps:


1. **Parse the input string "babbba" using the given grammar rules**:

    - S →aS { print "x" }

    - S →bS { print "y" }

    - S →a { print "z" }

    - S →b { print "z" }


2. **Generate the corresponding parse tree**:

    - Starting from the bottom, recognize the terminals and apply the rules in reverse to form the non-terminals.


3. **Apply the actions associated with the production rules in the order they are reduced during parsing**.


### Step-by-step Parsing:


1. **Input**: babbba


2. **Rightmost Derivation**:

    - Recognize "b" and reduce using \( S \rightarrow b \) { print "z" }

        - Output: "z"

    - Now, the string becomes: babbbS


    - Recognize "a" and reduce using \( S \rightarrow aS \) { print "x" }

        - Output: "z" (already from previous step) + "x"

    - Now, the string becomes: babbS


    - Recognize "b" and reduce using \( S \rightarrow bS \) { print "y" }

        - Output: "zx" + "y"

    - Now, the string becomes: babS


    - Recognize "b" and reduce using \( S \rightarrow bS \) { print "y" }

        - Output: "zxy" + "y"

    - Now, the string becomes: baS


    - Recognize "a" and reduce using \( S \rightarrow aS \) { print "x" }

        - Output: "zxyy" + "x"

    - Now, the string becomes: bS


    - Recognize "b" and reduce using \( S \rightarrow bS \) { print "y" }

        - Output: "zxyyx" + "y"

    - Now, the string becomes: S


### Final Output:

- Combining all the prints together in the order of reductions, we get "zyyyxy".


Thus, the final output for the input "babbba" is:


**3. zyyyxy**
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Most Upvoted Answer
Consider the given SDT which will be executed in connection with a bot...
Understanding the Syntax Directed Translation (SDT)
In the given SDT for the grammar, we have rules for the productions of S that also include printing certain characters based on the production rules used.
Production Rules
- S → aS { print "x"}
- S → bS { print "y"}
- S → a { print "z"}
- S → b { print "z"}
Input String: babbba
We will process the input "babbba" using a bottom-up parsing approach:
1. Parsing Steps:
- The input starts with 'b'. According to the rules, S can derive bS, so we apply that rule.
- After the first 'b', we have "abbba".
- Again, we can apply the rule S → bS for the second 'b', resulting in "abbb".
- Continue this process:
- S → bS for the third 'b', leading to "ab".
- S → aS for the 'a', resulting in "b".
2. Final Reduction:
- Finally, we reduce 'b' to S using the rule S → b, producing "S".
Output Sequence
Now, we track the printed outputs during parsing:
- For the first 'b' (S → bS): print "y".
- For the second 'b' (S → bS): print "y".
- For the third 'b' (S → bS): print "y".
- For the 'a' (S → aS): print "x".
- For the last 'a' (S → a): print "z".
Combining these outputs in the order they were printed:
- From 'b' (first): y
- From 'b' (second): y
- From 'b' (third): y
- From 'a': x
- From the last 'a': z
The final output is: zyyyxy.
Conclusion
Thus, the final output string for the input "babbba" is zyyyxy, which corresponds to option 'C'.
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