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 Which of the following is/are not true for recursively ennumerable language?
  • a)
    partially decidable
  • b)
    Turing acceptable
  • c)
    Turing Recognizable
  • d)
    None of the mentioned
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following is/are not true for recursively ennumerable lan...
In automata theory, a formal language is called recursively ennumerable language or partially decidable or semi decidable or turing acceptable or turing recognizable if there exists a turing machine which will ennumerate all valid strings of the language.
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Which of the following is/are not true for recursively ennumerable lan...
Recursively Enumerable Language:
A recursively enumerable language is a language for which there exists a Turing machine that will halt and accept any string in the language, but may either halt and reject or loop indefinitely for strings not in the language.

a) Partially Decidable:
A language is partially decidable if there exists a Turing machine that will halt and accept any string in the language, but may either halt and reject or loop indefinitely for strings not in the language. This definition aligns with the definition of recursively enumerable language, so partially decidable is true for recursively enumerable language.

b) Turing Acceptable:
Turing acceptable is not a commonly used term in the field of computer science and theory of computation. It is possible that the term is a synonym for Turing recognizable or partially decidable, in which case it would be true for recursively enumerable language. However, without a clear definition or context, it is not possible to determine the truthfulness of this statement.

c) Turing Recognizable:
A language is Turing recognizable if there exists a Turing machine that will halt and accept any string in the language, and either halt and reject or loop indefinitely for strings not in the language. This definition aligns with the definition of recursively enumerable language, so Turing recognizable is true for recursively enumerable language.

d) None of the mentioned:
The statement "None of the mentioned" is the correct answer because both partially decidable and Turing recognizable are true for recursively enumerable language. Without further information or context, it is not possible to determine the truthfulness of the statement "Turing acceptable".
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Which of the following is/are not true for recursively ennumerable language?a)partially decidableb)Turing acceptablec)Turing Recognizabled)None of the mentionedCorrect answer is option 'D'. Can you explain this answer?
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