Topic 1: Predicate Logic

Topic 1: Predicate Logic

University

7 Qs

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Topic 1: Predicate Logic

Topic 1: Predicate Logic

Assessment

Quiz

Computers

University

Practice Problem

Medium

Created by

Pradeep Isawasan

Used 8+ times

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

10 sec • 2 pts

Which of the following symbols represents the universal quantifier in predicate logic?

2.

MULTIPLE CHOICE QUESTION

10 sec • 2 pts

Which of the following best describes the relationship between propositional logic and predicate logic?

Predicate logic is a generalization of propositional logic.

Propositional logic is a generalization of predicate logic.

Predicate logic and propositional logic are equivalent in expressiveness.

Predicate logic and propositional logic are unrelated.

3.

MULTIPLE CHOICE QUESTION

10 sec • 2 pts

Which of the following is a valid rule of inference in predicate logic?

Modus ponens

Modus operandi

Law of contradiction

Principle of modus

4.

MULTIPLE CHOICE QUESTION

10 sec • 2 pts

What does the existential quantifier in predicate logic express?

A statement is true for all elements in the domain.

There exists at least one element in the domain for which a statement is true.

A statement is true for some, but not all, elements in the domain.

A statement is true for exactly one element in the domain.

5.

MULTIPLE CHOICE QUESTION

10 sec • 2 pts

Consider the following predicate logic statement: ∀x (P(x) → Q(x)). If we know that ∀x P(x), what can we conclude?

∀x Q(x)

∃x Q(x)

∀x (P(x) ∧ Q(x))

∃x (P(x) ∧ Q(x))

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Given the predicates P(x): x is an even number and Q(x): x is a multiple of 4, which of the following predicate logic statements correctly expresses "All even numbers are multiples of 4"?

∀x (P(x) → Q(x))

∀x (Q(x) → P(x))

∃x (P(x) ∧ Q(x))

∃x (P(x) → Q(x))

7.

MULTIPLE CHOICE QUESTION

20 sec • 2 pts

Consider the following predicates: P(x): x is a student, Q(x): x is smart, R(x): x is diligent. Which of the following statements is the correct representation of "All smart students are diligent"?

∀x (P(x) ∧ Q(x) → R(x))

∀x (P(x) → Q(x) ∧ R(x))

∀x ((P(x) → Q(x)) → R(x))

∀x (P(x) ∧ (Q(x) → R(x)))

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