15312 (often denoted as a course code for graduate-level or advanced undergraduate programming language theory) dives deep into the semantic foundations of programming languages. While introductory courses focus on syntax—what a program looks like—15312 focuses on —what a program means and does . The course provides the mathematical framework to: Formally define the behavior of language features.
"Foundations of Programming Languages" (15-312 / 15312) is much more than a class; it's an intellectual expedition into the heart of computation. By the end of this demanding but rewarding course, you will have learned to see all programming languages through a unified, scientific lens. It's a course that will profoundly influence how you think about, design, and build software for the rest of your career.
Programs are viewed as state transition systems. 15312 foundations of programming languages
Syntax tells you what is written . Semantics tells you what it does .
The rules the compiler checks before running the code (e.g., type checking). 15312 (often denoted as a course code for
The Preservation theorem (or Subject Reduction) states that if a well-typed program takes an execution step, the resulting program has the exact same type as the original. Evaluation preserves the meaning and safety guarantees of the type system. Together, . Abstract Syntax and Structural Induction
Assigns a mathematical object (like a function or a set) to each program phrase, defining meaning in terms of mathematical structures. "Foundations of Programming Languages" (15-312 / 15312) is
We'll implement this feature in a fictional language called "PolyLambda".