Download Functional and Logic Programming: 10th International by Brigitte Pientka (auth.), Matthias Blume, Naoki Kobayashi, PDF

Download Functional and Logic Programming: 10th International by Brigitte Pientka (auth.), Matthias Blume, Naoki Kobayashi, PDF

By Brigitte Pientka (auth.), Matthias Blume, Naoki Kobayashi, Germán Vidal (eds.)

This ebook constitutes the refereed court cases of the tenth overseas Symposium on practical and good judgment Programming, FLOPS 2010, held in Sendai, Japan, in April 2010. The 21 revised complete papers offered including three invited talks have been rigorously reviewed and chosen from forty nine submissions. The papers are geared up in topical sections on varieties; software research and transformation; foundations; good judgment programming; assessment and normalization; time period rewriting; and parallelism and keep watch over.

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Extra resources for Functional and Logic Programming: 10th International Symposium, FLOPS 2010, Sendai, Japan, April 19-21, 2010. Proceedings

Sample text

The type variable α is bound in a, but not in τ . We abbreviate Λ(α ⊥) a as Λ(α) a, which simulates the type abstraction Λα. a of System F. We write ftv(τ ) and ftv(a) the set of type variables that appear free in τ and a. We identify types, instantiations, and terms up to the renaming of bound variables. The capture-avoiding substitution of a variable v inside an expression s by an expression s is written s{v ← s }. α : τ ≤ α ⊥) τ Inst-Id τ ) τ ≤ τ {α ← τ } Γ ½:τ ≤τ Fig. 2. Type instance As usual, type environments assign types to program variables.

Given a term in x MLF, can we rebuild a term in iMLF with minimal type annotations? While this should be easy if we require that corresponding subterms have identical types in x MLF and iMLF, the answer is unclear if we allow subterms to have different types. The semantics of x MLF allows reduction (and elimination) of type instantiations a φ through ι-reduction but does not operate reduction (and simplification) of instantiations φ alone. ) and extend the reduction of terms with a context rule a φ −→ a φ whenever φ −→ φ .

Evaluation is performed while testing type equality, and boxing is essential to keep the type checker from diverging. Note also that we need to use Rec because [Nat ] has type ↑Type but we expect an element of Type here. Using the above representation we can derive the constructors zero : Nat = ( zero, unit) and suc :Nat → Nat = λi → ( suc, fold i).

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