Miranda: a non-strict functional language with polymorphic types
Proc. of a conference on Functional programming languages and computer architecture
A novel representation of lists and its application to the function "reverse"
Information Processing Letters
An introduction to the theory of lists
Proceedings of the NATO Advanced Study Institute on Logic of programming and calculi of discrete design
FPCA '89 Proceedings of the fourth international conference on Functional programming languages and computer architecture
Finger trees: a simple general-purpose data structure
Journal of Functional Programming
ChalkBoard: mapping functions to polygons
IFL'09 Proceedings of the 21st international conference on Implementation and application of functional languages
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The monoid is a humble algebraic structure, at first glance even downright boring. However, there's much more to monoids than meets the eye. Using examples taken from the diagrams vector graphics framework as a case study, I demonstrate the power and beauty of monoids for library design. The paper begins with an extremely simple model of diagrams and proceeds through a series of incremental variations, all related somehow to the central theme of monoids. Along the way, I illustrate the power of compositional semantics; why you should also pay attention to the monoid's even humbler cousin, the semigroup; monoid homomorphisms; and monoid actions.