Choose your language

Axioms Course

Axioms Course
flexible workload from 4 to 360h
valid certificate in your country

What will I learn?

The Axioms Course provides a short, practical way into formal systems, starting from first-order languages and proof rules up to models, soundness, and completeness. You will look into a specific algebraic theory, check the right-identity and inverse laws, and understand how countermodels function. Link these concepts to proof assistants, model finders, and verification processes that you can use straight away in higher studies and research.

Elevify advantages

Develop skills

  • Build algebraic models: quickly set up and test small group-like systems.
  • Verify axioms in practice: check associativity, identities, and inverses quickly.
  • Use models to refute claims: find countermodels and prove non-provability.
  • Translate axioms into proofs: create clear first-order derivations step by step.
  • Encode algebraic theories in proof assistants: basics of Coq, Lean, and Isabelle.

Suggested summary

Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

What our students say

Your lessons are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to change platforms... I thank you for everything you do, I've already recommended you to other people...
Giulio Carlo
Giulio CarloDigital Marketing Student
I like how the lessons are straight to the point and how I can change chapters and skip content I don't need.
Mariana Ferres
Mariana FerresPhotography Student
I like the content and the way videos are presented and transcribed, which speeds up the process!
Luciana Alvarenga
Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos help a lot with learning.
André Felipe
André FelipePrompt Engineering Student

FAQ

Who is Elevify? How does it work?

Do the courses have certificates?

Are the courses free?

What is the course workload?

What are the courses like?

How do the courses work?

What is the duration of the courses?

What is the cost or price of the courses?

What is an EAD or online course and how does it work?

PDF Course