Semantics define what the code actually does. The course relies on to specify execution step-by-step using precise inductive rules. This replaces vague English documentation with mathematical certainty. 2. Type Systems and Safety
The statics of a language dictate its compile-time rules. It determines whether a program is "well-formed" or "well-typed" before it ever runs.
Programs are viewed as state transition systems, defined by a set of evaluation rules: Written as , meaning expression steps to expression e′e prime 15312 foundations of programming languages
user wants a long article about "15312 foundations of programming languages". This appears to be a course code. I need to understand what this specific course is. I should search for "15312 foundations of programming languages" to gather information. search results provide several relevant links. I need to open them to gather detailed information. I'll open result 0, result 1, result 2, result 3, result 4, result 5, result 8, and result 0 from the second search, and result 0 from the third search, and result 0 from the fourth search, and result 0 from the fifth search. have gathered comprehensive information about the course. The article should cover: an introduction to the course, its official description, prerequisites and course details, key concepts, topics, the formal framework, learning outcomes, assessment structure, required background, why it matters, and a conclusion. I'll structure the article with these sections, using the information from the sources. I will cite the sources appropriately. Now I will write the article.ations of Programming Languages (15-312) is a legendary course at Carnegie Mellon University. To many, it is a rite of passage. It's a course designed to strip away the surface-level features of programming languages and reveal their underlying mathematical and logical structure. In this article, we'll explore the official course ID, its place in the CMU curriculum, what topics it covers, and why it holds such a revered place in computer science.
You learn to use the type system to express domain constraints. By making invalid states unrepresentable in your types, you eliminate entire classes of bugs at compile time. Semantics define what the code actually does
Moving from simple types to parametric polymorphism (generics). Students study System F to understand how languages like Java and Rust implement reusable, type-safe data structures.
-calculus), which provides the theoretical foundation for generics in Java/Rust and templates in C++. This includes exploring , which restricts what a polymorphic function can do based purely on its type signature. Programs are viewed as state transition systems, defined
Stripping away punctuation (like semicolons and braces) to analyze programs as trees.
: A mix of programming assignments (often every two weeks) and written assignments.
You can design languages with consistent, intuitive behavior.
: Usually includes a midterm (approx. 20%) and a comprehensive final exam (approx. 25%–30%).