Type theory and functional programmingLanguage, A Simple Programming
1.Functional Programming & Type Theory Haskell, Scala, and ML languagesuse monads (a categorical concept) to handle side effects like I/O, state, and exceptions. Compositionality: Category theory emphasizes composing functions/morphisms, which aligns with functional programming paradigms. 2.Database D...
Thompson, S.: Type Theory and Functional Programming, Addison-Wesley (1991), [ISBN:0201416670] Todorov, I., Hadjiivanov, L.: Monodromy Representations of the Braid Group. Phys. Atom. Nucl. 64, 2059–2068 (2001). https://doi.org/10.1134/1.1432899. [arXiv:hep-th/0012099] Article ADS ...
As it turns out, the type systems that we use every day in our programming languages are descendants of a field of logic known astype theory. In the next 10 minutes (I promise!), we'll discuss the origins of type theory, the typed lambda calculus, as well as functional programming langu...
Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. By concentrating on the principles that make the theory work in...
of the leading researchers in programming languages, Bob leads the PRL research group in constructive type theory, which has produced the Nuprl proof assistant. In this interview, we discuss Nuprl and its underlying type theory, along with the intellectual context within which they have developed....
Kind (type theory)-higher-kinded types--type constructor , pronounced "type", is the kind of all data types seen as nullary type constructors, and also called proper types in this context. This normally includes function types in functional programming languages. is the kind of a unary type...
* type theory and the interface among syntax, semantics, phonology * type theory and functional programming * type theory, logic, and inference Programme Committee: * Krasimir Angelov (Chalmers, Gothenburg) * Patrick Blackburn (Roskilde) * Stergios Chatzikyriakidis (Royal Holloway, London) * ...
The theory underlying type systems encompasses a large and complex body of knowledge. This section provides an overview of type systems and introduces some simple problems in type checking. Subsequent sections use simple problems of type inference as examples of context-sensitive computations. ...
The name is a playful shortening of the wordcategory, from "category theory". Regardless, you do not need to know anything about category theory to use Cats. Contributors Code Contributors This project exists thanks toall the people who contribute. We welcome contributions to Cats and would love...