Together, Progress and Preservation form the bedrock of language reliability, ensuring that typed languages like Rust, Java, or Standard ML prevent low-level runtime crashes before the code even runs. 3. The Core Paradigms Explored
let identity x = x
After completing "Foundations of Programming Languages," you will have acquired a specific and powerful set of skills, as outlined in the course description. You will understand abstract syntax, and the binding and scope of identifiers, and be able to prove properties of languages by structural induction. You will be able to give a mathematically precise definition of a language's statics and dynamics. You will master the concept of type safety and know how to prove that a language is safe or find a counterexample to its safety. You will be able to build interpreters for a broad range of programming languages that are derived directly from their formal definitions. Finally, you will learn how to integrate multiple features in a language and guarantee that the combination is sensible.
Classic models:
Studying 15312 is not merely an academic exercise. It offers practical advantages to software engineers:
Checks type errors at compile-time (e.g., Java, Rust).
How programs behave, defined rigorously via operational semantics.
Experience with structural induction and formal logic is crucial, as you will be proving properties of languages.
Beyond pure logic, 15312 tackles the "messy" parts of programming: exceptions, mutable state (references), and continuations. By formalizing these concepts, students learn how to manage complexity without sacrificing mathematical certainty. Why Should You Care?
Are you looking for lecture notes, homework solutions, or a specific proof from the 15-312 curriculum? Further explorations into natural deduction and sequent calculus await.