GSLTypen

GSLTypen is a formal framework used in the study and implementation of type systems for the GSL family of languages. It provides a typology that classifies types into groups such as primitive types (integers, booleans, strings), composite types (tuples, records, arrays), function types, and polymorphic types. It also introduces type constructors and parameterized types, enabling generic programming.

The framework imposes typing rules that determine how expressions can be typed under a given typing context. It supports type inference and type checking, with mechanisms for subtyping and type equivalence. It distinguishes static and dynamic aspects of types and may include mutability annotations or lifetime constraints in more advanced deployments.

GSLTypen is used by language designers and compiler writers to reason about type safety, compatibility, and genericity in GSL languages. It helps formalize constraints during compilation, guiding type inference algorithms and error reporting. It can be leveraged to compare GSL languages or to guide evolution of a language's type system.

In practice, examples show that the framework supports generic functions, such as a function that operates on any list element type, and ensures that operations on elements respect their type. It may include rules for type operators, coercions, and higher-kinded types.