Lambda Calculus with Types (Perspectives in Logic) by Henk Barendregt,Wil Dekkers,Richard Statman

By Henk Barendregt,Wil Dekkers,Richard Statman

This instruction manual with workouts finds in formalisms, hitherto frequently used for and software program layout and verification, unforeseen mathematical attractiveness. The lambda calculus varieties a prototype common programming language, which in its untyped model is said to Lisp, and was once taken care of within the first author's vintage The Lambda Calculus (1984). The formalism has due to the fact that been prolonged with forms and utilized in useful programming (Haskell, fresh) and evidence assistants (Coq, Isabelle, HOL), utilized in designing and verifying IT items and mathematical proofs. during this ebook, the authors specialise in 3 periods of typing for lambda phrases: uncomplicated varieties, recursive forms and intersection kinds. it truly is in those 3 formalisms of phrases and kinds that the unforeseen mathematical good looks is published. The remedy is authoritative and finished, complemented via an exhaustive bibliography, and diverse workouts are supplied to deepen the readers' knowing and elevate their self assurance utilizing types.

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