AI - Knowledge Representation

Please identify whether the statements below are propositions or not.

Hostel rooms are always less expensive than apartment rooms.

• True

• False

Please identify whether the statements below are propositions or not.

Can you describe the differences between hostel and hotel accommodations?

• True

• False

Please identify whether the statements below are propositions or not.

I like staying at the hostel.

• True

• False

In the FOL statement, given the constants are John and KFC. Which of the following is not suitable as a predicate.

• likes(John, KFC)

• eats(John, KFC)

• eats(John, meal_of(chicken_KFC))

• loves(John, KFC)

The statement “Not all people eat KFC” can be logically represented as:

¬∀x(P(x)→E(x))

where:

• (P(x)) represents “x is a person”

• (E(x)) represents “x eats KFC”

This logical form states that it is not true that for every person (x), if (x) is a person, then (x) eats KFC. In other words, there exists at least one person who does not eat KFC.

• ∀x [P(x) → E(x, KFC)]

• ¬∃x [P(x) ∧ E(x, KFC)]

• ¬∀x [P(x) → ¬E(x, KFC)]

• ∃x [P(x) ∧ E(x, KFC)]

Given this English statement, "Some prefer to eat McDonald's". Which logical form most accurately represents the statement?

Let P(x) represent "x prefers to eat McDonald's."

• ∀x P(x)

• ¬∃x P(x)

• ¬∀x P(x)

• ∃x P(x)

Refer to the truth table below.

What is the output of A.

• 1

• 0

Refer to the truth table below.

What is the output of B.

• 1

• 0

Refer to the truth table below.

What is the output of C.

• 0

• 1

Refer to the truth table below.

Identify what should be the expression of x.

• ¬(p → q)

• p ∧ ¬q

• p → q

• p ↔ q