Welcome to the Future of λ Calculus

Explore the intersection of mathematical theory and practical computer science through interactive demonstrations and visual learning.

(λx. x x) (λy. y y) →
  y y →
  y (λy. y y) →
  ...

Interactive Features

Lambda Playground

Interactive editor for writing and testing lambda expressions with step-by-step reductions

Combinator Visualizer

Explore Y, S, K, I and other combinators with visual graph representation

Type Checker

Instantly verify type signatures of your lambda expressions

Start Learning

Chapter 1: Foundations

  • Lambda Notation
  • Reduction Rules
  • Church Encoding

Chapter 2: Advanced Topics

  • Type Systems
  • Combinators
  • Fixed Point Theorems
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