Title
Strong Normalization through Intersection Types and Memory.
Abstract
We characterize β-strongly normalizing λ-terms by means of a non-idempotent intersection type system. More precisely, we first define a memory calculus K together with a non-idempotent intersection type system K, and we show that a K-term t is typable in K if and only if t is K-strongly normalizing. We then show that β-strong normalization is equivalent to K-strong normalization. We conclude since λ-terms are strictly included in K-terms.
Year
DOI
Venue
2016
10.1016/j.entcs.2016.06.006
Electr. Notes Theor. Comput. Sci.
Keywords
Field
DocType
Lambda-calculus,memory calculus,strong normalization,intersection types
Discrete mathematics,Lambda calculus,Normalization (statistics),If and only if,Normalization property,Mathematics
Journal
Volume
Issue
ISSN
323
C
1571-0661
Citations 
PageRank 
References 
0
0.34
17
Authors
3
Name
Order
Citations
PageRank
Antonio Bucciarelli124125.59
Delia Kesner236939.75
Daniel Lima Ventura3224.88