Download Advanced Functional Programming: 5th International School, by Atze Dijkstra, S. Doaitse Swierstra (auth.), Varmo Vene, PDF

By Atze Dijkstra, S. Doaitse Swierstra (auth.), Varmo Vene, Tarmo Uustalu (eds.)

This educational e-book provides 9 conscientiously revised lectures given on the fifth foreign tuition on useful Programming, AFP 2004, in Tartu, Estonia in August 2004.

The e-book offers the subsequent 9, conscientiously cross-reviewed chapters, written via top experts within the box: Typing Haskell with an characteristic Grammar, Programming with Arrows, Epigram: useful Programming with established forms, Combining Datatypes and results, GEC: a toolkit for prevalent swift Prototyping, A useful Shell that Operates on Typed and Compiled purposes, Declarative Debugging with Buddha, Server-Side net Programming in WASH, and Refactoring useful Programs.

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Extra resources for Advanced Functional Programming: 5th International School, AFP 2004, Tartu, Estonia, August 14 – 21, 2004, Revised Lectures

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In the body of f the type g must be known and vice-versa. There is no ordering of what can be defined and checked first. In Haskell f and g together would be in the same binding group. – Textually separated signatures and value definitions. let f :: ... f = λx → ... in ... Syntactically the signature and value definition for an identifier need not be defined adjacently or in any specific order. In Haskell dependency analysis determines that f and g form a so-called binding group, which contains declarations that have to be subjected to type analysis together.

TyCnstr 54 A. D. ty which uses some additional functions for creating type variables mkNewTyVar :: UID → Ty mkNewTyVar u = let ( , v) = mkNewUID u in mkTyVar v mkNewUIDTyVarL :: Int → UID → ([UID], TyL) mkNewUIDTyVarL sz u = let vs = mkNewUIDL sz u in (vs, map mkTyVar vs) mkNewTyVarL :: Int → UID → TyL mkNewTyVarL sz u = snd (mkNewUIDTyVarL sz u) Some observations are in place: – The main difference with the previous implementation is the use of type variables to represent unknown knowledge. Previously was used for that purpose, for example, the rule e-lam2 and its implementation show that fresh type variables vi in ν1 → ν2 are used instead of → to enforce a .

7) the argument of the expected function type → σk is not known because this information is only available from the environment Γ which is used further down in the AST via rule e-ident1B. In this use of it represents a “dont’t know” of the type system implementation. As such has the role of a type variable (as introduced for type inferencing in section 3). 4 This will happen with other attributes as well. Typing Haskell with an Attribute Grammar 33 – An error occurs at a place where the implementation of the type system needs a type to continue (type checking) with.

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