Introduction to Type Systems and Typed Lambda Calculus

Demystify the mathematical foundations of modern functional programming. This text-based course guides you through the core theory of typed lambda calculus, the engine behind robust type systems in languages like Haskell, OCaml, and F#. You will transition from writing basic expressions to understanding how compilers verify program correctness. What you'll learn: Understand the foundational mechanics of untyped and typed lambda calculus; Learn the principles of type safety, progress, and preservation; Explore how type inference algorithms automatically determine types; Discover the Curry-Howard isomorphism and its connection to logic; Analyze modern type system features like generics and basic dependent types. This course begins with essential definitions of terms and types, gradually building up to type checker design through clear explanations and written practice problems. Designed for developers curious about functional programming theory, this course requires no prior background in advanced mathematics. Start reading today to master the science of type systems.