Q. Consider a vocabulary with only four propositions A, B, C and D. How many models are there for the following sentence?

B V C

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Q. Consider the following statements :

(a) False╞ True
(b) If α╞ (β ∧ γ) then α╞ β and α╞ γ.

Which of the following is correct with respect to the above statements?

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Q. Consider the following English sentence:

“Agra and Gwalior are both in India”.

A student has written a logical sentence for the above English sentence in First-Order Logic using predicate In(x, y), which means x is in y, as follows:

In(Agra, India) V In(Gwalior, India)

Which one of the following is correct with respect to the above logical sentence?

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Q. Consider the following two sentences:

(a) The planning graph data structure can be used to give a better heuristic for a planning problem.
(b) Dropping negative effects from every action schema in a planning problem results in a relaxed problem.

Which of the following is correct with respect to the above sentences?

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Q. Consider the set of all possible five-card poker hands dealt fairly from a standard deck of fifty-two cards. How many atomic events are there in the joint probability distribution?

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Q. In Artificial Intelligence (AI), which agent deals with happy and unhappy state?

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Q. If b is the branching factor and m is the maximum depth of the search tree, what is the space complexity of greedy search?

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Q. Let P, Q, R and S be Propositions. Assume that the equivalences P⇔(Q∨¬Q) and Q⇔R hold. Then the truth value of the formula (P∧Q)⇒((P∧R)∨S) is always :

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Q. “If X, then Y unless Z” is represented by which of the following formulae in propositional logic?

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Q. Consider the following two well-formed formulas in prepositional logic.

F1 : P ⇒ ¬ P
F2 : (P ⇒ ¬ P) ∨ (¬ P ⇒ P)

Which of the following statements is correct?

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Q. Standard planning algorithms assume environment to be .................

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