TY  - BOOK
AU  - Barendregt,Henk
AU  - Dekkers,Wil
AU  - Statman,Richard
TI  - Lambda Calculus with Types
T2  - Perspectives in Logic
SN  - 9781139032636 (ebook)
AV  - QA9.5 .B365 2013
U1  - 511.35 23
PY  - 2013///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Lambda calculus
N1  - Title from publisher's bibliographic system (viewed on 04 Apr 2016)
N2  - 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
UR  - http://dx.doi.org/10.1017/CBO9781139032636
ER  -