Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Which one of the following is FALSE?a)There i... Start Learning for Free
Which one of the following is FALSE?
  • a)
    There is unique minimal DFA for every regular language
  • b)
    Every NFA can be converted to an equivalent PDA.
  • c)
    Complement of every context-free language is recursive.
  • d)
    Every nondeterministic PDA can be converted to an equivalent deterministic PDA.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which one of the following is FALSE?a)There is unique minimal DFA for ...
Deterministic PDA cannot handle languages or grammars with ambiguity, but NDPDA can handle languages with ambiguity and any context-free grammar. So every nondeterministic PDA can not be converted to an equivalent deterministic PDA.
View all questions of this test
Most Upvoted Answer
Which one of the following is FALSE?a)There is unique minimal DFA for ...
Explanation:
To understand why option 'D' is false, we need to understand the conversion process from a nondeterministic PDA to a deterministic PDA.

Conversion from Nondeterministic PDA to Deterministic PDA:

- For every state in the nondeterministic PDA, we create a set of states in the deterministic PDA.
- The initial state of the deterministic PDA is the set of states containing the initial state of the nondeterministic PDA.
- For every transition in the nondeterministic PDA, we create a set of transitions in the deterministic PDA. The set of transitions is created by taking the union of all transitions from the current state in the nondeterministic PDA that have the same input and output.
- If the nondeterministic PDA has epsilon transitions, we need to handle them separately. We create a new transition from the current state in the deterministic PDA to the set of states that can be reached from the current state in the nondeterministic PDA using epsilon transitions.
- The accepting states of the deterministic PDA are the sets of states that contain at least one accepting state of the nondeterministic PDA.

Limitations of Conversion:

- The number of states in the deterministic PDA can be exponential in the number of states in the nondeterministic PDA. This can make the deterministic PDA very large and difficult to work with.
- It is not always possible to convert a nondeterministic PDA to an equivalent deterministic PDA. There are some languages that can be recognized by a nondeterministic PDA but not by any deterministic PDA. An example of such a language is {0^n1^n | n >= 0}.

Conclusion:
Since it is not always possible to convert a nondeterministic PDA to an equivalent deterministic PDA, option 'D' is false.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. Can you explain this answer?
Question Description
Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. 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 Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. 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 Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which one of the following is FALSE?a)There is unique minimal DFA for every regular languageb)Every NFA can be converted to an equivalent PDA.c)Complement of every context-free language is recursive.d)Every nondeterministic PDA can be converted to an equivalent deterministic PDA.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev