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Conor McBride and Ross Paterson. in Journal of Functional Programming 18:1 (2008), pages 1-13. Abstract In this paper, we introduce Applicative functors--an abstract characterisation of an applicative style of effectful programming, weaker than Monads and hence more widespread. Indeed, it is the ubiquity of this programming pattern that drew us to the abstraction. We retrace our steps in this pape
Ross Paterson. The Fun of Programming, edited by Jeremy Gibbons and Oege de Moor, Palgrave, 2003, 201-222. Abstract Many programs and libraries involve components that are `function-like', in that they take inputs and produce outputs, but are not simple functions from inputs to outputs. This chapter explores the features of such `notions of computation', defining a common interface, called `arrows
Ralf Hinze and Ross Paterson, Journal of Functional Programming 16(2):197–217, 2006. doi:10.1017/S0956796805005769 Summary We present 2-3 finger trees, a functional representation of persistent sequences supporting access to the ends in amortized constant time, and concatenation and splitting in time logarithmic in the size of the smaller piece. Representations achieving these bounds have appeared
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