GATE Exam > GATE Questions > Which of the following statements is incorrec...
Start Learning for Free
Which of the following statements is incorrect ?
- a)Union of two DCFL is a CFL.
- b)Complementation of a regular language is a regular language.
- c)Turing recognizable languages are closed under intersection.
- d)None.
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Which of the following statements is incorrect ?a)Union of two DCFL is...
Explanation:
Statement 1 is correct because union of two DCFL may or may not be DCFL but
surely CFL. Statement 2 is correct because regular languages are closed under complementation. Statement 3 is correct because Turing recognizable languages or recursive enumerable languages are closed under intersection.
Most Upvoted Answer
Which of the following statements is incorrect ?a)Union of two DCFL is...
Union of two DCFL is a CFL:
This statement is correct. The union of two deterministic context-free languages (DCFL) is a context-free language (CFL). This is because the union operation preserves the context-free property.
Complementation of a regular language is a regular language:
This statement is correct. The complement of a regular language is also a regular language. This is because regular languages are closed under complementation.
Turing recognizable languages are closed under intersection:
This statement is incorrect. Turing recognizable languages are not closed under intersection. This means that the intersection of two Turing recognizable languages may not necessarily be Turing recognizable. This is in contrast to context-free languages, which are closed under intersection.
Therefore, the correct answer is option 'D'.
This statement is correct. The union of two deterministic context-free languages (DCFL) is a context-free language (CFL). This is because the union operation preserves the context-free property.
Complementation of a regular language is a regular language:
This statement is correct. The complement of a regular language is also a regular language. This is because regular languages are closed under complementation.
Turing recognizable languages are closed under intersection:
This statement is incorrect. Turing recognizable languages are not closed under intersection. This means that the intersection of two Turing recognizable languages may not necessarily be Turing recognizable. This is in contrast to context-free languages, which are closed under intersection.
Therefore, the correct answer is option 'D'.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer?
Question Description
Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. 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 Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer?.
Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. 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 Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following statements is incorrect ?a)Union of two DCFL is a CFL.b)Complementation of a regular language is a regular language.c)Turing recognizable languages are closed under intersection.d)None.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup