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Polymorphic functions with set-theoretic types - Part 1: Syntax, semantics, and evaluation
Castagna, Giuseppe (1); Nguyen, Kim (2); Xu, Zhiwu (1); Im, Hyeonseung (2); Lenglet, Sergueï (4); Padovani, Luca (5)
2014
Conference Name41st Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, POPL 2014
Pages5-17
Conference DateJanuary 22, 2014 - January 24, 2014
Conference PlaceSan Diego, CA, United states
Indexed TypeSCI ; CPCI ; EI
Publish PlaceAssociation for Computing Machinery, General Post Office, P.O. Box 30777, NY 10087-0777, United States
ISSN7308566
ISBN9781450325448
Department(1) CNRS, PPS, Univ. Paris Diderot, Paris, France; (2) LRI, Université Paris-Sud, Orsay, France; (3) State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China; (4) LORIA, Université de Lorraine, Nancy, France; (5) Dipartimento di Informatica, Università di Torino, Italy
English AbstractThis article is the first part of a two articles series about a calculus with higher-order polymorphic functions, recursive types with arrow and product type constructors and set-theoretic type connectives (union, intersection, and negation). In this first part we define and study the explicitly-typed version of the calculus in which type instantiation is driven by explicit instantiation annotations. In particular, we define an explicitly-typed λ-calculus with intersection types and an efficient evaluation model for it. In the second part, presented in a companion paper, we define a local type inference system that allows the programmer to omit explicit instantiation annotations, and a type reconstruction system that allows the programmer to omit explicit type annotations. The work presented in the two articles provides the theoretical foundations and technical machinery needed to design and implement higher-order polymorphic functional languages for semi-structured data. © 2014 ACM.; This article is the first part of a two articles series about a calculus with higher-order polymorphic functions, recursive types with arrow and product type constructors and set-theoretic type connectives (union, intersection, and negation). In this first part we define and study the explicitly-typed version of the calculus in which type instantiation is driven by explicit instantiation annotations. In particular, we define an explicitly-typed λ-calculus with intersection types and an efficient evaluation model for it. In the second part, presented in a companion paper, we define a local type inference system that allows the programmer to omit explicit instantiation annotations, and a type reconstruction system that allows the programmer to omit explicit type annotations. The work presented in the two articles provides the theoretical foundations and technical machinery needed to design and implement higher-order polymorphic functional languages for semi-structured data. © 2014 ACM.
KeywordTypes Polymorphism Xml Intersection Types
Language英语
Content Type会议论文
URIhttp://ir.iscas.ac.cn/handle/311060/16519
Collection中国科学院软件研究所
Recommended Citation
GB/T 7714
Castagna, Giuseppe ,Nguyen, Kim ,Xu, Zhiwu ,et al. Polymorphic functions with set-theoretic types - Part 1: Syntax, semantics, and evaluation[C]. Association for Computing Machinery, General Post Office, P.O. Box 30777, NY 10087-0777, United States,2014:5-17.
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