Lex Augusteijn (auth.), S. Doaitse Swierstra, José N.'s Advanced Functional Programming: Third International School, PDF

By Lex Augusteijn (auth.), S. Doaitse Swierstra, José N. Oliveira, Pedro R. Henriques (eds.)

This e-book originates from the 3rd summer season institution on complex useful Programming, held in Barga, Portugal, in September 1998. The lectures offered are special at person scholars and programming execs in addition to at small examine teams and academics who desire to turn into familiar with fresh paintings within the quickly constructing sector of practical programming.
The booklet offers the subsequent seven, conscientiously cross-reviewed chapters, written through prime gurus within the box: Sorting Morphisms; favourite Programming: An advent; typical application Transformation; Designing and imposing Combinator Languages; utilizing MetaML: A Staged Programming Language; Cayenne: A Language with based forms; Haskell as an Automation Controller.

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Additional info for Advanced Functional Programming: Third International School, AFP’98, Braga, Portugal, September 12-19, 1998, Revised Lectures

Sample text

Following the naming convention introduced above, we write aK to denote both the mapping on types and the mapping on functions. That is, we write Generic Programming 47 aK where strictly we should write ida K. So, for functions f0 . . fn−1 , we have aK f0 . . fn−1 = ida . A constant functor that we will use frequently is the constant functor associated with the unit type, 1. The unit type is the type that is denoted () in Haskell. It is a type having exactly one element (which element is also denoted () in Haskell).

The technical terms for addition and multiplication are “disjoint sum” and “cartesian product”. The use of disjoint sum enables one to capture in a single functor the fact that an algebra has a set of operations. The use of cartesian product enables one to express the fact that an operator in an algebra has an arity greater than one. We also introduce constant functors and the identity functor; these are used to express the designated constants (functions of arity zero) and unary functions in an algebra, respectively.

Indeed, the desire to be able to name and reuse “programming patterns” —capturing them in the form of parametrisable abstractions— has been a driving force in the evolution of high-level programming languages to the extent that the level of “genericity” of a programming language has become a vital criterion for usability. To determine the level of genericity there are three questions we can ask: – Which entities can be named in a definition and then referred to by that given name? – Which entities can be supplied as parameters?

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