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Trends in Functional Programming: 13th International by D. A. Turner (auth.), Hans-Wolfgang Loidl, Ricardo Peña

By D. A. Turner (auth.), Hans-Wolfgang Loidl, Ricardo Peña (eds.)

This e-book constitutes the completely refereed revised chosen papers of the thirteenth foreign Symposium on tendencies in sensible Programming, TFP 2012, held in St Andrews, Scotland, united kingdom in June 2012. The 18 revised complete papers integrated during this quantity have been conscientiously and chosen from forty nine submissions and are complemented with an invited paper. They hide numerous facets of developments in useful programming.

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The authors would like to thank the Feldspar team for comments and discussions on the ideas presented in this paper. The first author would like to thank the participants of the DSL conference 2011 for the their constructive feedback, when part of the material in this paper was presented as an invited tutorial. This research is funded by Ericsson and the Swedish Foundation for Strategic Research. The Feldspar project is an initiative of and is partially funded by Ericsson Software Research and is a collaboration between Chalmers, Ericsson and ELTE University.

They apply to unwrapping casts that are applied to dynamic values with the wrong top type constructor. These are the only rules that generate blame. The resulting linear blame calculus is still type safe. We can prove preservation and progress lemmas extending the ones given by Turner and Wadler. H : Θ; Γ and Lemma 1 (Type preservation). If {H}e → {H }e and Θ; Γ e : t then there exist Θ and Γ such that H : Θ, Θ ; Γ and Θ, Θ ; Γ e : t. Lemma 2 (Progress). If H : Θ; Γ and Θ; Γ e : t then one of the following alternatives holds: (i) there exist H and e such that {H}e → {H }e , (ii) there exists p such that {H}e → ⇑ p, or (iii) e is a linear variable.

We call the type class Syntactic . class Syntactic a where type Internal a toFunC : : a → FunC ( Internal a) fromFunC : : FunC ( Internal a) → a When making an instance of the class Syntactic for a type T one must specify how T will represented internally, in the already existing deep embedding of FunC. This is what the associated type Internal is for. The two functions toFunC and fromFunC translates back and forth between the type T and its internal representation. The fromFunC method is needed when defining user interfaces based on the Syntactic class.

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