Practice Clause And Literal Definitions (3.7) - SAT Problem - Discrete Mathematics - Vol 1
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Clause and Literal Definitions

Practice - Clause and Literal Definitions

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a satisfiable proposition.

💡 Hint: Think about conditions under which a proposition can be true.

Question 2 Easy

What is a clause?

💡 Hint: Consider how literals group together.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Can a proposition be satisfiable if it is always false?

True
False

💡 Hint: Remember the definition of unsatisfiable propositions.

Question 2

What is CNF?

A disjunction of clauses
A conjunction of clauses
A single literal

💡 Hint: Think about how logical expressions are structured.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the logical expression (p OR q) AND (¬r OR s), show how to convert it into CNF.

💡 Hint: Check for disjunctions within conjunctions.

Challenge 2 Hard

Create a satisfiable and an unsatisfiable proposition and explain why they fit the definitions.

💡 Hint: Remember the definitions and look for conflicts.

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Reference links

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