Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which of the following is incorrect according...
Start Learning for Free
Which of the following is incorrect according to rice theorem?
Let S be a set of language hat is non trivial:
Let S be a set of language hat is non trivial:
- a)there exists a TM that recognizes the language in S
- b)there exists a TM that recognizes the language in S
- c)both (a) and (b)
- d)none of the mentioned
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Which of the following is incorrect according to rice theorem?Let S be...
According to rice theorem, it is undecidable to determine whether the language recognized by an arbitrary turing machine lies in S.
Most Upvoted Answer
Which of the following is incorrect according to rice theorem?Let S be...
Explanation:
Rice's theorem is a fundamental result in computability theory that states that almost all non-trivial semantic properties of programs are undecidable. In the context of programming languages, a semantic property is a property that depends on the behavior of the program, rather than just its syntax.
Rice's theorem applies to sets of languages, where a set of languages is considered non-trivial if it contains at least one language and its complement. Let's analyze each option to determine which one is incorrect according to Rice's theorem.
a) There exists a TM that recognizes the language in S:
This option is correct because it states that there is a Turing machine (TM) that can recognize the languages in the set S. Rice's theorem does not make any claims about the existence of a TM that recognizes a set of languages.
b) There exists a TM that recognizes the language in S:
This option is also correct for the same reasons as option a). Rice's theorem does not make any claims about the existence of a TM that recognizes a set of languages.
c) Both (a) and (b):
This option is incorrect according to Rice's theorem. Rice's theorem states that any non-trivial semantic property of languages is undecidable. Therefore, it is not possible for both option a) and option b) to be correct simultaneously.
d) None of the mentioned:
This option is incorrect because options a) and b) are correct according to Rice's theorem. The correct answer is option c) because it violates Rice's theorem.
In conclusion, according to Rice's theorem, option c) is incorrect because it violates the fundamental result that almost all non-trivial semantic properties of languages are undecidable.
Rice's theorem is a fundamental result in computability theory that states that almost all non-trivial semantic properties of programs are undecidable. In the context of programming languages, a semantic property is a property that depends on the behavior of the program, rather than just its syntax.
Rice's theorem applies to sets of languages, where a set of languages is considered non-trivial if it contains at least one language and its complement. Let's analyze each option to determine which one is incorrect according to Rice's theorem.
a) There exists a TM that recognizes the language in S:
This option is correct because it states that there is a Turing machine (TM) that can recognize the languages in the set S. Rice's theorem does not make any claims about the existence of a TM that recognizes a set of languages.
b) There exists a TM that recognizes the language in S:
This option is also correct for the same reasons as option a). Rice's theorem does not make any claims about the existence of a TM that recognizes a set of languages.
c) Both (a) and (b):
This option is incorrect according to Rice's theorem. Rice's theorem states that any non-trivial semantic property of languages is undecidable. Therefore, it is not possible for both option a) and option b) to be correct simultaneously.
d) None of the mentioned:
This option is incorrect because options a) and b) are correct according to Rice's theorem. The correct answer is option c) because it violates Rice's theorem.
In conclusion, according to Rice's theorem, option c) is incorrect because it violates the fundamental result that almost all non-trivial semantic properties of languages are undecidable.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option 'C'. Can you explain this answer?
Question Description
Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option '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 Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option '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 Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option 'C'. Can you explain this answer?.
Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option '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 Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option '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 Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option '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 Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following is incorrect according to rice theorem?Let S be a set of language hat is non trivial:a)there exists a TM that recognizes the language in Sb)there exists a TM that recognizes the language in Sc)both (a) and (b)d)none of the mentionedCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) 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