Practice Verification Of Other Expressions (7.3.2) - Tutorial 1: Part II
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Verification of Other Expressions

Practice - Verification of Other Expressions

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a functionally complete set of logical operators.

💡 Hint: Think about the basic logical operators you know.

Question 2 Easy

What does negation do to a proposition?

💡 Hint: Remember the effect of NOT on true statements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following sets of operators is functionally complete?

Just AND
AND and OR
AND
OR
and NOT

💡 Hint: Think of the basic logical operations.

Question 2

True or False: If a proposition is a tautology, its negation is satisfiable.

True
False

💡 Hint: Consider the definitions of tautology and satisfiability.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Show that the expression p ∨ q is equivalent to ¬(¬p ∧ ¬q) using truth tables.

💡 Hint: Remember that equivalence means they must have the same output for every input.

Challenge 2 Hard

Prove that the expression p → (q ∧ r) is functionally complete by expressing it with AND and NOT.

💡 Hint: Focus on breaking down the implication step-by-step.

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Reference links

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