登入選單
返回Google圖書搜尋
出版Cambridge University Press, 2013-06-20
主題Mathematics / CalculusMathematics / Discrete MathematicsMathematics / Logic
ISBN05217661419780521766142
URLhttp://books.google.com.hk/books?id=2UVasvrhXl8C&hl=&source=gbs_api
EBookSAMPLE
註釋This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. 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). 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. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. 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.