Practice Tautology Implication (7.5.2) - Tutorial 1: Part II - Discrete Mathematics - Vol 1
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Tautology Implication

Practice - Tautology Implication

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define functional completeness in your own words.

💡 Hint: Consider how operators like AND, OR, and NOT interact.

Question 2 Easy

True or False: A tautology is always satisfiable.

💡 Hint: Think about the definition of a tautology.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following describes a tautology?

It is always false
It is always true
It depends on the context

💡 Hint: Reflect on the nature of tautological statements.

Question 2

True or False: The statement 'p ∨ ¬p' is a tautology.

True
False

💡 Hint: Think of both possible truth values for 'p'.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that conjunction and negation are functionally complete by expressing disjunction using only these operators.

💡 Hint: Refer to De Morgan's laws for guidance.

Challenge 2 Hard

Construct a truth table for the expression '¬(p ∧ q)' and demonstrate that it is equivalent to 'p ∨ q'.

💡 Hint: Break down the expression and assess each truth value.

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