NDLI: Composing and decomposing data types: a closed type families implementation of data types à la carte

Please wait, while we are loading the content...

Functional programming, object-oriented programming and algebras!

Generic constructors and eliminators from descriptions: type theory as a dependently typed internal DSL

First-class isomorphic specialization by staged evaluation

Composing and decomposing data types: a closed type families implementation of data types à la carte

Ornaments in practice

Algebraic effects and effect handlers for idioms and arrows

True sums of products

Type inference for the spine view of data

Scoping rules on a platter: a framework for understanding and specifying name binding

Composing and decomposing data types: a closed type families implementation of data types à la carte

Content Provider	ACM Digital Library
Author	Bahr, Patrick
Abstract	Wouter Swierstra's data types à la carte is a technique to modularise data type definitions in Haskell. We give an alternative implementation of data types à la carte that offers more flexibility in composing and decomposing data types. To achieve this, we refine the subtyping constraint, which is at the centre of data types à la carte. On the one hand this refinement is more general, allowing subtypings that intuitively should hold but were not derivable beforehand. This aspect of our implementation removes previous restrictions on how data types can be combined. On the other hand our refinement is more restrictive, disallowing subtypings that lead to more than one possible injection and should therefore be considered programming errors. Furthermore, from this refined subtyping constraint we derive a new constraint to express type isomorphism. We show how this isomorphism constraint allows us to decompose data types and to define extensible functions on data types in an ad hoc manner. The implementation makes essential use of closed type families in Haskell. The use of closed type families instead of type classes comes with a set of trade-offs, which we review in detail. Finally, we show that our technique can be used for other similar problem domains.
Starting Page	71
Ending Page	82
Page Count	12
File Format	PDF
ISBN	9781450330428
DOI	10.1145/2633628.2633635
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2014-08-26
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Two-level types Closed type families Expression problem Modularity
Content Type	Text
Resource Type	Article

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in