Semantic bidirectionalization revisited

Meng Wang, Shayan Najd

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

4 Citations (Scopus)
6 Downloads (Pure)


A bidirectional transformation is a pair of mappings between source and view data objects, one in each direction. When the view is modified, the source is updated accordingly with respect to some laws. Over the years, a lot of effort has been made to offer better language support for programming such transformations, essentially allowing the programmers to construct one mapping of the pair and have the other automatically generated.

As an alternative to creating specialized new languages, one can try to analyse and transform programs written in general purpose languages, and ``bidirectionalize" them. Among others, a technique termed as semantic bidirectionalization stands out in term of user-friendliness. The unidirectional program can be written using arbitrary language constructs, as long as the function is polymorphic and the language constructs respect parametricity. The free theorem that follows from the polymorphic type of the program allows a kind of forensic examination of the transformation, determining its effect without examining its implementation. This is convenient, in the sense that the programmer is not restricted to using a particular syntax; but it does require the transformation to be polymorphic.

In this paper, we revisit the idea of semantic bidirectionalization and reveal the elegant principles behind the current state-of-the-art techniques. Guided by the findings, we derive much simpler implementations that scale easily.

Original languageEnglish
Title of host publicationPEPM '14 Proceedings of the ACM SIGPLAN 2014 Workshop on Partial Evaluation and Program Manipulation
PublisherAssociation for Computing Machinery (ACM)
Publication statusPublished - 2014

Structured keywords

  • Programming Languages


  • bidirectional transformation
  • free theorem
  • Haskell
  • view-update problem


Dive into the research topics of 'Semantic bidirectionalization revisited'. Together they form a unique fingerprint.

Cite this