01865 2200205 4500
FRBNF375379040000000
0521622778
rel.
7366
7366
19980610d m y0frey5003 b
eng
eng
Domains and lambda-calculi
MON
Roberto, Amadio
Pierre-Louis, Curien
Cambridge University Press
1998
Cambridge
1 vol. (XVI-484 p.)
Cambridge tracts in theoretical computer science
46
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.
Langages de programmation
Mathématiques
Lambda-calcul
004.16 Logique mathématique
Amadio
Roberto M.
14889
Curien
Pierre-Louis
14890
7705
ENSB
ENSB
INFORMATIQUE
00007603
004.16 AMA
0
004.16 Logique mathématique