Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > The following resolution rule is used in logi...
Start Learning for Free
The following resolution rule is used in logic programming:
Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)
Q.
Which of the following statements related to this rule is FALSE?
Which of the following statements related to this rule is FALSE?
- a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically valid
- b)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically valid
- c)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiable
- d)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiable
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The following resolution rule is used in logic programming:Derive clau...
Ans.
( a ) is true (P v Q) ⇒ (P v R) ^ (Q v ~R) may e or may not true
View all questions of this test
Derive clause P v Q from clauses P v R , Q v ~ R means that ( P v R ) ^ ( Q v ~R ) ⇒ P v Q
Since, x ⇒ y does not imply that y ⇒ x
Hence (b) is false
Most Upvoted Answer
The following resolution rule is used in logic programming:Derive clau...
S).
The resolution rule used in logic programming is based on the concept of logical inference, specifically the resolution principle. This principle states that if we have two clauses with complementary literals, we can derive a new clause that combines the remaining literals.
To apply this resolution rule to the given clauses, we start by identifying the complementary literals. In this case, the complementary literals are P and Q.
Next, we create a new clause by combining the remaining literals from the two clauses. Since the remaining literals are R and S, we can combine them to form the clause (R v S).
Therefore, by applying the resolution rule, we can derive the clause (P v Q) from the clauses (P v R) and (Q v S), resulting in the new clause (R v S).
The resolution rule used in logic programming is based on the concept of logical inference, specifically the resolution principle. This principle states that if we have two clauses with complementary literals, we can derive a new clause that combines the remaining literals.
To apply this resolution rule to the given clauses, we start by identifying the complementary literals. In this case, the complementary literals are P and Q.
Next, we create a new clause by combining the remaining literals from the two clauses. Since the remaining literals are R and S, we can combine them to form the clause (R v S).
Therefore, by applying the resolution rule, we can derive the clause (P v Q) from the clauses (P v R) and (Q v S), resulting in the new clause (R v S).
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
The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiableCorrect answer is option 'B'. Can you explain this answer?
Question Description
The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are 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 The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are 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 The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiableCorrect answer is option 'B'. Can you explain this answer?.
The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are 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 The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are 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 The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiableCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiableCorrect answer is option 'B'. 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 The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiableCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiableCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiableCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiableCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The following resolution rule is used in logic programming:Derive clause (P v Q) from clauses (P v R), (Q v ¬ R)Q.Which of the following statements related to this rule is FALSE?a)((P v R) ^ (Q v ¬ R)) (P v Q) is logically validb)(P v Q) ⇒ ((P v R) ^ (Q v ¬ R)) is logically validc)(P v Q) is satisfiable if and only if (P v R) ^ (Q v ¬ R) is satisfiabled)(P v Q) ⇒ FALSE if and only if both P and Q are unsatisfiableCorrect answer is option 'B'. 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup