15312 Foundations Of Programming Languages Free Jun 2026

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The simplest model is the —a mapping from memory locations to values. Adding assignment ( x := e ) changes the store. But it breaks referential transparency: x + x is no longer guaranteed to equal 2*x if x changes between evaluations.

If you are ready to explore the deep theory of how code works, I can highlight specific concepts. Do you want to dive deeper into , analyze System F and generics , or look at how compilers track mutable memory ? Share public link 15312 foundations of programming languages

By introducing recursive functions and infinite loops, the language transitions into , a core model for functional programming. Here, you encounter the Y Combinator and fixed-point operators, discovering how a language can achieve Turing-completeness without relying on mutating state or loops. Polymorphism and System F

(parsing, code generation) Comparative Language Design (e.g., Rust vs. C++ semantics) This public link is valid for 7 days

Static semantics dictate what constitutes a "legal" program before execution. This is where type systems are defined. Using formal derivation rules (logical fractions), students learn to prove that an expression has a type under a specific context Γcap gamma (written as

It has only three things:

data TypeScheme = Forall String TypeScheme | Mono Type deriving (Show, Eq)