λιβι.λ

Explore lambda calculus through interactive learning, elegant theory, and practical computation.

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Why λιβι.λ?

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Pure Theory

Dive into the mathematical purity of λ-calculus with visual step-by-step reductions.

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Live Examples

Interactive λ-expressions with real-time β-reduction demonstrations in your browser.

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Challenge Mode

Progressive puzzles and exercises to master λ-calculus patterns and combinations.

"Everything is a function. Everything is expression"

From Church's original vision to modern functional programming foundations, λιβι.λ deciphers the universal language of computation.

Ready to Reduce?

Whether you're teaching lambda calculus or exploring its mysteries, our interactive playground helps you build complex patterns from simple abstractions.