Lambda Calculus with Types Barendregt Henk
Lambda Calculus with Types Barendregt Henk This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty.…
Specifikacia Lambda Calculus with Types Barendregt Henk
Lambda Calculus with Types Barendregt Henk
This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984).
It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.