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Logic and Reasoning for Computing

Logic and Reasoning for Computing

This course is part of Essential Mathematics for Computer Science Specialization

Instructor: Omar Karakchi

Included with

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4 modules

Gain insight into a topic and learn the fundamentals.

Intermediate level

Recommended experience

2 weeks to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

4 modules

Gain insight into a topic and learn the fundamentals.

Intermediate level

Recommended experience

2 weeks to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

What you'll learn

Represent and evaluate statements with formal logic, building accuracy and rigour in reasoning for computing challenges.
Apply Boolean algebra to simplify logical expressions and connect symbolic reasoning to digital systems and algorithms.
Construct and verify mathematical proofs using direct proof, contradiction, and induction to confirm correctness.
Strengthen problem-solving and critical thinking skills to analyse, structure, and solve complex computational tasks.

Skills you'll gain

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This course is part of the Essential Mathematics for Computer Science Specialization

When you enroll in this course, you'll also be enrolled in this Specialization.

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Gain a foundational understanding of a subject or tool
Develop job-relevant skills with hands-on projects
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There are 4 modules in this course

Logic forms the backbone of computer science, providing the language and methods for precise reasoning, rigorous analysis, and formal proof. Logic and Reasoning for Computing equips learners with essential tools to represent statements, analyse arguments, and verify correctness. Across four modules—Propositional Logic, Predicate Logic, Boolean Algebra, and Proof Techniques—you will build a solid foundation in formal reasoning and connect abstract concepts directly to computing practice. You’ll explore truth tables, quantifiers, Boolean operations, and methods of proof, applying them to areas such as programming, digital circuits, and algorithm verification. By the end of this course, you’ll not only be able to reason critically and communicate arguments clearly, but also have the confidence to apply logical structures to both theoretical and practical problems in computer science.

Module details

This module you will learn about two key concepts: the definition of a proposition and an argument, and constructing the truth table of a proposition.

What's included

11 videos5 readings6 assignments

11 videosTotal 49 minutes

Introduction to the course1 minute
Introduction to propositional logic3 minutes
Building blocks of logic6 minutes
Truth table – examples8 minutes
Tautology and consistency (part 1)4 minutes
Tautology and consistency (part 2)4 minutes
Tautology and consistency – examples3 minutes
Equivalences (part 1)6 minutes
Equivalences (part 2)3 minutes
First-order logic9 minutes
Conclusion2 minutes

5 readingsTotal 110 minutes

Course structure and navigation15 minutes
How to learn effectively on this course15 minutes
Course Syllabus10 minutes
Practice Problems: Exercises hints and tips10 minutes
Exercises, hints and tips60 minutes

6 assignmentsTotal 155 minutes

Check your understanding: End of module 120 minutes
Write in logic20 minutes
Truth table20 minutes
Tautology or contradiction25 minutes
Quantifiers35 minutes
Logic35 minutes

This week you will learn about three key concepts: the definition of predicate logic; universal and existential quantifiers; and logical equivalence involving quantifiers.

What's included

6 videos1 reading7 assignments

6 videosTotal 48 minutes

Introduction to predicate logic2 minutes
What are predicates?6 minutes
Quantification9 minutes
De Morgan's laws for quantifiers6 minutes
Rules of inference16 minutes
Rules of inference with quantifiers10 minutes

1 readingTotal 15 minutes

Topic 4 summary15 minutes

7 assignmentsTotal 200 minutes

Check your understanding: End of module 220 minutes
Introduction to predicate logic30 minutes
What are predicates?30 minutes
Quantification30 minutes
De Morgan's laws for quantifiers30 minutes
Rules of inference30 minutes
Rules of inference with quantifiers30 minutes

In tis module, you will learn about four key concepts: the definition of Boolean algebra; Boolean expressions and functions; the application of De Morgan's laws; and circuit simplification.