Title
Storage Operators And Directed Lambda-Calculus
Abstract
Storage operators have been introduced by J. L. Krivine in [5] they are closed lambda-terms which, for a data type. allow one to simulate a ''call by value'' while using the ''call by name'' strategy. In this paper, we introduce the directed lambda-calculus and show that it has the usual properties of the ordinary lambda-calculus. With this calculus we get an equivalent-and simple-definition of the storage operators that allows 5 to show some of their properties:the stability of the set of storage operators under the beta-equivalence (Theorem 5.1.1);the undecidability (and semidecidability) of the problem ''is a closed lambda-term t a storage operator for a finite set of closed normal lambda-terms?'' (Theorems 5.2.2 and 5.2.3);the existence of storage operators for every finite set of closed normal lambda-terms (Theorem 5.4.3);the computation time of the ''storage operation'' (Theorem 5.5.2).
Year
DOI
Venue
1995
10.2307/2275874
JOURNAL OF SYMBOLIC LOGIC
DocType
Volume
Issue
Journal
60
4
ISSN
Citations 
PageRank 
0022-4812
5
0.67
References 
Authors
3
2
Name
Order
Citations
PageRank
René David119621.98
Karim Nour26515.07