Practice Introduction To Satisfiability Problem (3.1) - SAT Problem - Discrete Mathematics - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Introduction to Satisfiability Problem

Practice - Introduction to Satisfiability Problem

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a satisfiable proposition.

💡 Hint: Think about truth assignments possible.

Question 2 Easy

What does it mean for a proposition to be unsatisfiable?

💡 Hint: Remember the tautology's role.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a satisfiable proposition?

It is always false
It can be true for some assignments
It cannot be true for any assignments

💡 Hint: Think about when a proposition can be true.

Question 2

True or False: Every unsatisfiable proposition has a negation that is a tautology.

True
False

💡 Hint: Consider definitions of unsatisfiability.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the proposition (p → q) ∧ (¬q ∨ r), convert it into conjunctive normal form.

💡 Hint: Remember rules for negations and implications.

Challenge 2 Hard

Explain how a Sudoku puzzle can be encoded as a SAT problem and the implication of each rule.

💡 Hint: Think of how you’ll frame each number’s placement in SAT terms.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.