Q. Given the following set of prolog clauses:

father(X, Y):
parent(X, Y),
male(X),
parent(Sally, Bob),
parent(Jim, Bob),
parent(Alice, Jane),
parent(Thomas, Jane),
male(Bob),
male(Jim),
female(Salley),
female(Alice).

How many atoms are matched to the variable ‘X’ before the query
father(X, Jane) reports a Result?

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Q. Forward chaining systems are ............. where as backward chaining systems are ................

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Q. A horn clause is ......................

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Q. In Propositional Logic, given P and P→Q, we can infer .................

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Q. Reasoning strategies used in expert systems include ...............

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Q. Language model used in LISP is .................

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Q. In constraint satisfaction problem, constraints can be stated as ...................

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Q. Consider the two class classification task that consists of the following points :

Class C1: [-1, -1], [-1, 1], [1, -1]
Class C2: [1, 1]

The decision boundary between the two classes C1 and C2 using single perceptron is given by :

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Q. How many different truth tables of the compound propositions are there that involve the propositions p & q ?

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Q. The notation ∃!xp(x) denotes the proposition "there exists a unique x such that P(x) is true".
Give the truth values of the following statements :

I. ∃!xP(x) → ∃xP(x)
II. ∃!x ¬ P(x) → ¬∀xp(x)

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Q. Give a compound proposition involving propositions p, q and r that is true when exactly two of p, q and r are true and is false otherwise.

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Q. The quantification ∃!x P(x) denotes the proposition “There exists a unique x such that P(x) is true”, express the quantification using universal and existential quantifications and logical operators:

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Q. Which of the following is a correct predicate logic statement for “Every Natural number has one successor” ?

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Q. α – β cutoffs are applied to .............

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Q. Assume that each alphabet can have a value between 0 to 9 in a cryptoarithmetic problem 
   CROSS+ROADS
--------------
DANGER
--------------
Which of the following statement is true ?

(i) No two alphabets can have the same numeric value.
(ii) Any two alphabets may have the same numeric value.
(iii) D = 0
(iv) D = 1

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Q. Which of the following is not a part of an expert system shell ?

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Q. The Blocks World Problem in Artificial Intelligence is normally discussed to explain a ..................

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Q. Means-Ends Analysis process centres around the detection of difference between the current state and the goal state. Once such a difference is found, then to reduce the difference one applies ..................

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Q. If an artificial variable is present in the ‘basic variable’ of optimal simplex table then the solution is .................

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Q. An optimal assignment requires that the minimum number of horizontal and vertical lines that can be drawn to cover all zeros be equal to the number of

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