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Consider the following sets:
S1. Set of all recursively enumerable languages over the alphabet {0,1}
S2. Set of all syntactically valid C programs
S3. Set of all languages over the alphabet {0,1}
S4. Set of all non-regular languages over the alphabet {0,1}
Which of the above sets are uncountable?
  • a)
    S1 and S4
  • b)
    S3 and S4
  • c)
    S1 and S2
  • d)
    S2 and S3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following sets:S1. Set of all recursively enumerable lang...
S1. Recursive enumerable language is accepted by TM and there are Countable number of TM possible.
S2. Countable. Given a length l, and a finite number of characters, c, we know that each length has only finitely many possible valid c codes cL. We can easily make a bijection from the natural numbers to the lengths, and at each length we add only finite number of other valid code, thus countable.
S3. The Number of language over ∑ is uncountable
S4. Non-regular language is Uncountable 
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Consider the following sets:S1. Set of all recursively enumerable languages over the alphabet {0,1}S2. Set of all syntactically valid C programsS3. Set of all languages over the alphabet {0,1}S4. Set of all non-regular languages over the alphabet {0,1}Which of the above sets are uncountable?a)S1 and S4b)S3 and S4c)S1 and S2d)S2 and S3Correct answer is option 'B'. Can you explain this answer?
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Consider the following sets:S1. Set of all recursively enumerable languages over the alphabet {0,1}S2. Set of all syntactically valid C programsS3. Set of all languages over the alphabet {0,1}S4. Set of all non-regular languages over the alphabet {0,1}Which of the above sets are uncountable?a)S1 and S4b)S3 and S4c)S1 and S2d)S2 and S3Correct answer is option 'B'. 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 sets:S1. Set of all recursively enumerable languages over the alphabet {0,1}S2. Set of all syntactically valid C programsS3. Set of all languages over the alphabet {0,1}S4. Set of all non-regular languages over the alphabet {0,1}Which of the above sets are uncountable?a)S1 and S4b)S3 and S4c)S1 and S2d)S2 and S3Correct answer is option 'B'. 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 sets:S1. Set of all recursively enumerable languages over the alphabet {0,1}S2. Set of all syntactically valid C programsS3. Set of all languages over the alphabet {0,1}S4. Set of all non-regular languages over the alphabet {0,1}Which of the above sets are uncountable?a)S1 and S4b)S3 and S4c)S1 and S2d)S2 and S3Correct answer is option 'B'. Can you explain this answer?.
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