# Knowledge representation-Artificial Intelligence UGC NET June-2020

Knowledge representation-Artificial Intelligence UGC NET June-2020

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Explanation:
(A) (R âˆ§ E) â‡” C
It is not equivalent to above statement. It says that all conservative(C) are Radical(R) and Electable (E).
Â Â Â Â Â  (B)Â  R â‡’ (E â‡”C)
Â Â Â Â Â Â Â Â Â Â Â Â Â  It is equivalent to above statement. It says that if all person are Radical(R) then they are Electable (E) if
Â Â Â Â Â Â Â Â Â Â Â Â Â  And only if they are Conservative (C).Â Â Â Â Â Â Â
Â Â Â Â  Â (C)Â  R â‡’ ((Câ‡’E) v Â¬E)
Â Â Â Â Â Â Â Â Â Â Â Â Â  R â‡’ (Â¬C v E v Â¬E )
Â Â Â Â Â Â Â Â Â Â Â Â Â  It is tautology, That is it is true in all condition because E is in both form (Normal Form & ComplementedÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Â Â Â Â Â Â Â Â Â Â Â Â Â  Form)
Â Â Â Â Â  (D) (Â¬R v Â¬E v C) âˆ§ (Â¬R v Â¬ C v E)
Â Â Â Â Â Â Â Â Â Â Â Â Â  (Â¬R v E â‡’C) âˆ§ (Â¬R v C â‡’E)
Â Â Â Â Â Â Â Â Â Â Â Â Â  Â¬R v ((E â‡’C) âˆ§ (C â‡’E))
Â Â Â Â Â Â Â Â Â Â Â Â Â  Â¬R v (E â‡”C)
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  R â‡’ (E â‡”C)
Â Â Â Â Â Â Â Â Â Â Â Â Â  It is equivalent to above statement. It says that if all person are Radical(R) then they are Electable (E) if
Â Â Â Â Â Â Â Â Â Â Â Â  Â And only if they are Conservative (C).Â Â Â Â Â Â Â
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