Title
Coalgebraic Aspects of Bidirectional Computation
Abstract
We have previously shown that several state-based bx formalisms can be captured using monadic functional programming, using the state monad together with possibly other monadic effects, giving rise to structures we have called monadic bx (mbx). In this paper, we develop a coalgebraic theory of state-based bx, and relate the resulting coalgebraic structures (cbx) to mbx. We show that cbx support a notion of composition coherent with, but conceptually simpler than, our previous mbx definition. Coalgebraic bisimulation yields a natural notion of behavioural equivalence on cbx, which respects composition, and essentially includes symmetric lens equivalence as a special case. Finally, we speculate on the applications of this coalgebraic perspective to other bx constructions and formalisms.
Year
DOI
Venue
2015
10.5381/jot.2017.16.1.a1
JOURNAL OF OBJECT TECHNOLOGY
Keywords
Field
DocType
bidirectional transformation,lens,monads,effects,bisimulation
Computer science,Parallel computing,Computation
Conference
Volume
Issue
ISSN
16
1
1660-1769
Citations 
PageRank 
References 
0
0.34
14
Authors
3
Name
Order
Citations
PageRank
Faris Abou-Saleh1152.86
james mckinna246443.02
Jeremy Gibbons346942.73