期刊名称:Electronic Proceedings in Theoretical Computer Science
电子版ISSN:2075-2180
出版年度:2009
卷号:22
页码:49-64
DOI:10.4204/EPTCS.22.5
出版社:Open Publishing Association
摘要:We present two rewriting systems that define labelled explicit substitution lambda-calculi. Our work is motivated by the close correspondence between Levy's labelled lambda-calculus and paths in proof-nets, which played an important role in the understanding of the Geometry of Interaction. The structure of the labels in Levy's labelled lambda-calculus relates to the multiplicative information of paths; the novelty of our work is that we design labelled explicit substitution calculi that also keep track of exponential information present in call-by-value and call-by-name translations of the lambda-calculus into linear logic proof-nets.