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 instructional ebook provides 9 conscientiously revised lectures given on the fifth foreign university on practical Programming, AFP 2004, in Tartu, Estonia in August 2004.

The booklet offers the next 9, rigorously cross-reviewed chapters, written via best experts within the box: Typing Haskell with an characteristic Grammar, Programming with Arrows, Epigram: useful Programming with established varieties, Combining Datatypes and results, GEC: a toolkit for ordinary quick Prototyping, A sensible Shell that Operates on Typed and Compiled purposes, Declarative Debugging with Buddha, Server-Side internet Programming in WASH, and Refactoring practical Programs.

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

Example text

Because the specified type for ab corresponds to the top of a pattern of a value definition. DATA AGItf | AGItf expr DATA Decl | TySig : Expr nm : {HsName} tyExpr : TyExpr patExpr : PatExpr expr : Expr | Val TYPE Decls = [Decl] SET AllDecl = Decl Decls DATA PatExpr | IConst | CConst | Con | Var | VarAs | App | AppTop | Parens int : {Int } char : {Char } nm : {HsName} nm : {HsName} nm : {HsName} patExpr : PatExpr func : PatExpr arg : PatExpr patExpr : PatExpr patExpr : PatExpr SET AllPatExpr = PatExpr DATA TyExpr | Con nm | App func arg | AppTop tyExpr | Parens tyExpr : {HsName} : TyExpr : TyExpr : TyExpr : TyExpr SET AllTyExpr = TyExpr SET AllExpr = Expr SET AllNT = AllTyExpr AllDecl AllPatExpr AllExpr Fig.

GathTySigGam = emptyGam 42 A. D. Swierstra Attribute gathTySigGam is used to gather type signatures. The gathered signatures are then passed back into the declarations. Attribute tySigGam is used to distribute the gathered type signatures over the declarations. tySigGam of Nothing → (Ty Any, False) Just vgi → (vgiTy vgi, True) This type signature is then used as the known type of the pattern and the expression. knTy = @sigTy The flag hasTySig is used to signal the presence of a type signature for a value and a correct form of the pattern.

However, is used only as a mechanism for the type system implementation. e. the EH programmer) of the type system. knTy = Ty Any The rule f-arrow1 in Fig. 8 for comparing function types compares the types for arguments in the opposite direction. Only in later versions of EH when really behaves asymmetrically we will discuss this aspect of the rules which is named contravariance. In the rules in Fig. 8 the direction makes no difference; the correct use of the direction for now only anticipates issues yet to come.

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