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Consider the following first order logic formula in which R is a binary relation symbol. ∀x∀y (R(x, y)  => R(y, x)) The formula is 
  • a)
    satisfiable and valid
  • b)
    satisfiable and so is its negation
  • c)
    unsatisfiable but its negation is valid
  • d)
    satisfiable but its negation is unsatisfiable
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following first order logic formula in which R is a binar...
VxVy R(x,y) => R(y,x) The above given relation is symmetry But, we have both symmetric relastions possible and also possibility of anti symmetric relation  But neither of always holds for all possibilites of sets. => Both are satisfiable but not valid This solution is contributed by Anil Saikrishna Devarasetty. One more solution : We are given a logical formula. So, to be valid it must be a symmetric relation. Hence, Option A is incorrect. Since, it is a logical formula => it is along with it's negation is satisfiable. Hence, option B is correct. 
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Consider the following first order logic formula in which R is a binary relation symbol. ∀x∀y (R(x, y) => R(y, x)) The formula isa)satisfiable and validb)satisfiable and so is its negationc)unsatisfiable but its negation is validd)satisfiable but its negation is unsatisfiableCorrect answer is option 'B'. Can you explain this answer?
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Consider the following first order logic formula in which R is a binary relation symbol. ∀x∀y (R(x, y) => R(y, x)) The formula isa)satisfiable and validb)satisfiable and so is its negationc)unsatisfiable but its negation is validd)satisfiable but its negation is unsatisfiableCorrect 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 first order logic formula in which R is a binary relation symbol. ∀x∀y (R(x, y) => R(y, x)) The formula isa)satisfiable and validb)satisfiable and so is its negationc)unsatisfiable but its negation is validd)satisfiable but its negation is unsatisfiableCorrect 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 first order logic formula in which R is a binary relation symbol. ∀x∀y (R(x, y) => R(y, x)) The formula isa)satisfiable and validb)satisfiable and so is its negationc)unsatisfiable but its negation is validd)satisfiable but its negation is unsatisfiableCorrect answer is option 'B'. Can you explain this answer?.
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