Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Consider the following problems L(G) denotes ... Start Learning for Free
Consider the following problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.
(I) For an unrestricted grammar G and a string w, where w = L(G).
(II) Given a Turing Machine M, whether L(M) is regular.
(III) Given two grammars G1 and G2 whether L(G1) = L(G2).
(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.
Which one of the following statements is correct?
  • a)
    (I) is undecidable
  • b)
    (II) is undecidable
  • c)
    (III) is undecidable
  • d)
    (IV) is undecidable
Correct answer is option 'A,B,C'. Can you explain this answer?
Most Upvoted Answer
Consider the following problems L(G) denotes the language generated by...
Given,
Statement (I): Undecidable
For an unrestricted grammar G and a string w, where w = L(G).
Membership problem for RE → undecidable.
Statement (II): Undecidable
Given a turing Machine M, whether L(M) is regular.
Regularity problem for RE → undecidable.
Statement (III): Undecidable
Given two grammars G1 and G2 whether L(G1) = L(G2).
Equivalence problem for RE→ undecidable.
Statement (IV): Decidable
Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.
Since DPDA P exists for every NFA N and is equivalent to it, this problem is trivially decidable.
Hence, the correct options are (A), (B) and (C).
Explore Courses for Computer Science Engineering (CSE) exam

Similar Computer Science Engineering (CSE) Doubts

Top Courses for Computer Science Engineering (CSE)

Consider the following problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. Can you explain this answer?
Question Description
Consider the following problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. 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 problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. 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 problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. Can you explain this answer?.
Solutions for Consider the following problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. 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 following problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the following problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. Can you explain this answer?, a detailed solution for Consider the following problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. Can you explain this answer? has been provided alongside types of Consider the following problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the following problems L(G) denotes the language generated by a grammar G.L(M) denotes the language accepted by a machine M.(I) For an unrestricted grammar G and a string w, where w = L(G).(II) Given a Turing Machine M, whether L(M) is regular.(III) Given two grammars G1 and G2 whether L(G1) = L(G2).(IV) Given an NFA N, whether there is a deterministic PDA P such that N and P accept the same language.Which one of the following statements is correct?a)(I) is undecidableb)(II) is undecidablec)(III) is undecidabled)(IV) is undecidableCorrect answer is option 'A,B,C'. 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