TY  - BOOK
AU  - Amadio,Roberto M.
AU  - Curien,P.-L.
TI  - Domains and lambda-calculi
T2  - Cambridge tracts in theoretical computer science
SN  - 9780511983504 (ebook)
AV  - QA9.5 .A43 1998
U1  - 511.3 21
PY  - 1998///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Lambda calculus
KW  - Programming languages (Electronic computers)
KW  - Semantics
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - This book describes the mathematical aspects of the semantics of programming languages. The main goals are to provide formal tools to assess the meaning of programming constructs in both a language-independent and a machine-independent way, and to prove properties about programs, such as whether they terminate, or whether their result is a solution of the problem they are supposed to solve. In order to achieve this the authors first present, in an elementary and unified way, the theory of certain topological spaces that have proved of use in the modelling of various families of typed lambda calculi considered as core programming languages and as meta-languages for denotational semantics. This theory is known as Domain Theory, and was founded as a subject by Scott and Plotkin. One of the main concerns is to establish links between mathematical structures and more syntactic approaches to semantics, often referred to as operational semantics, which is also described. This dual approach has the double advantage of motivating computer scientists to do some mathematics and of interesting mathematicians in unfamiliar application areas from computer science
UR  - https://doi.org/10.1017/CBO9780511983504
ER  -