NDLI: Typed self-interpretation by pattern matching

Content Provider	ACM Digital Library
Author	Palsberg, Jens Jay, Barry
Abstract	Self-interpreters can be roughly divided into two sorts: self-recognisers that recover the input program from a canonical representation, and self-enactors that execute the input program. Major progress for statically-typed languages was achieved in 2009 by Rendel, Ostermann, and Hofer who presented the first typed self-recogniser that allows representations of different terms to have different types. A key feature of their type system is a type:type rule that renders the kind system of their language inconsistent. In this paper we present the first statically-typed language that not only allows representations of different terms to have different types, and supports a self-recogniser, but also supports a self-enactor. Our language is a factorisation calculus in the style of Jay and Given-Wilson, a combinatory calculus with a factorisation operator that is powerful enough to support the pattern-matching functions necessary for a self-interpreter. This allows us to avoid a type:type rule. Indeed, the types of System F are sufficient. We have implemented our approach and our experiments support the theory.
Starting Page	247
Ending Page	258
Page Count	12
File Format	PDF MP4
ISSN	03621340 15581160
DOI	10.1145/2034574.2034808
Journal	ACM SIGPLAN Notices (SIGP)
Volume Number	46
Issue Number	9
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1983-05-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Self-interpretation Pattern matching
Content Type	Audio Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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