ATS (programming language)

ATS is a statically typed programming language that combines programming with theorem proving. It aims to bridge the gap between practical programming and formal verification by integrating dependent types, a powerful type system that allows types to depend on values. The name ATS stands for Applied Type System.

A key feature of ATS is its support for static resource management. This allows programmers to explicitly control memory allocation and deallocation, enabling the development of high-performance and resource-constrained applications. This is achieved through linear types and regions.

ATS supports two distinct programming paradigms: ATS/Anairiats, which is a functional paradigm, and ATS/Postiats, which is more imperative. Both paradigms can be used within the same program, allowing for flexibility in choosing the best approach for different tasks.

ATS's type system is based on a theory called Applied Type System, which is a formal system combining a powerful type system with theorem proving capabilities. The type system allows for expressing complex program invariants as types, enabling the compiler to verify these invariants at compile time. This approach reduces the need for runtime checks and improves the reliability of the software.

ATS has been used in various applications, including operating systems development, high-performance computing, and formal verification of software. Its unique combination of features makes it suitable for projects requiring both high performance and strong guarantees of correctness.