Type theory and functional programmingLanguage, A Simple Programming
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 ...
A broader goal of Cats is to provide a foundation for an ecosystem of pure, typeful libraries to support functional programming in Scala applications.For more detail about Cats' motivations, go here.Why "cats"?The name is a playful shortening of the word category, from "category theory"....
Cambridge Tracts in Theoretical Computer Science(共34册),这套丛书还有 《Temporal Logics in Computer Science》《Higher Order Logic and Hardware Verification》《Mathematical Theory of Domains》《Algebraic Specification of Communication Protocols》《Metamathematics, Machines and Gödel's Proof》等。 喜欢读...
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...
Agda is a dependently typed functional programming language based on intuitionistic Type Theory. Type theory is concerned both with programming and logic. It’s an extension of Martin-Löf’s type theory, and is the latest in the tradition of languages developed in the programming logic group at...
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....
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. ...
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...
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