By Nate Foster, Kazutaka Matsuda, Janis Voigtländer (auth.), Jeremy Gibbons (eds.)
Generic programming is set making courses extra extensively appropriate through unique forms of parametrization---not simply alongside the size of values or of sorts, but additionally of items comparable to the form of information, algebraic constructions, concepts, computational paradigms, etc. listed programming is a light-weight kind of dependently typed programming, constraining flexibility by means of permitting one to nation and payment relationships among parameters: that the shapes of 2 arguments agree, that an encoded worth suits a few sort, that values transmitted alongside a channel agree to the acknowledged protocol, etc. the 2 forces of genericity and indexing stability one another properly, concurrently selling and controlling generality. The five lectures incorporated during this publication stem from the Spring college on common and listed Programming, held in Oxford, united kingdom, in March 2010 as a remaining task of the conventional and listed programming venture at Oxford which came about within the years 2006-2010.
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D. ) FOSSACS 2003. LNCS, vol. 2620, pp. 23–38. : Update semantics of relational views. : Matching lenses: Alignment and view update. In: Proceedings of International Conference on Functional Programming. SIGPLAN Notices, vol. 45(9), pp. 193–204. : Embedded interpreters. : Coupled Schema Transformation and Data Conversion for XML and SQL. In: Hanus, M. ) PADL 2007. LNCS, vol. 4354, pp. 290–304. : Relational lenses: A language for updateable views. In: Proceedings of Principles of Database Systems, pp.
Several full-blown bidirectional programming languages have been built using combinators, including Boomerang [18] and Augeas [34]. 11 The failure of the PutPut law can be easily seen in the iteration and union lenses, which do not always preserve the complement. The combinators ensure well-behavedness using C a type system—every well-typed program in S ⇐⇒ V denotes a well-behaved lens on S, V , and C. An advantage of the combinator approach is that operators are guaranteed to satisfy strong properties such as totality, as they are derived directly from the semantics.
Content = foldMapDefault (λa → [a]) decorate :: Traversable κ ⇒ forall α. forall β. Applicative modules (for the data constructor WrapMonad and the function unwrapMonad). 3], about sequential and parallel composition of traversals. hinze/ Abstract. Adjunctions are among the most important constructions in mathematics. These lecture notes show they are also highly relevant to datatype-generic programming. First, every fundamental datatype— sums, products, function types, recursive types—arises out of an adjunction.
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