Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Consider the languages:L1 = {anbncm | n, m &#... Start Learning for Free
Consider the languages:
L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}
Q. Which one of the following statements is FALSE?
  • a)
    L1 ∩ L2 is a context-free language
  • b)
    L1 U L2 is a context-free language
  • c)
    L1 and L2 are context-free language
  • d)
    L1 ∩ L2 is a context sensitive language
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, ...
L1 and L2 are context free languages. See this for closure properties.
View all questions of this test
Most Upvoted Answer
Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, ...
False statement: L1 ∩ L2 is a context-free language.

Explanation:

L1 = {anbncm | n, m ≥ 0}
L2 = {anbmcm | n, m ≥ 0}

L1 ∩ L2 = {anbncm | n, m ≥ 0} ∩ {anbmcm | n, m ≥ 0}

= {anbncm | n, m ≥ 0, n = m}

= {anbnbn | n ≥ 0}

= {anbn | n ≥ 0} which is not a context-free language.

Therefore, the false statement is option (A) L1 ∩ L2 is a context-free language.

Other statements are:

- L1 ∪ L2 is a context-free language: This is true because the union of two context-free languages is also a context-free language.
- L1 and L2 are context-free languages: This is true because both L1 and L2 can be generated by context-free grammars.
- L1 ∩ L2 is a context-sensitive language: This is false because L1 ∩ L2 is not even a context-free language.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. Can you explain this answer?
Question Description
Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. 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 languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. 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 languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. 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 Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the languages:L1 = {anbncm | n, m > 0} L2 = {anbmcm | n, m > 0}Q. Which one of the following statements is FALSE?a)L1 ∩ L2 is a context-free languageb)L1 U L2 is a context-free languagec)L1 and L2 are context-free languaged)L1 ∩ L2 is a context sensitive languageCorrect answer is option 'A'. 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