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 booklet constitutes the refereed complaints of the tenth overseas Symposium on useful and common sense Programming, FLOPS 2010, held in Sendai, Japan, in April 2010. The 21 revised complete papers provided including three invited talks have been conscientiously reviewed and chosen from forty nine submissions. The papers are prepared in topical sections on forms; software research and transformation; foundations; common sense programming; assessment and normalization; time period rewriting; and parallelism and regulate.

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

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And a −→ Λ(α ∀ (γ) γ) Λ(β α) x (∀ ( )) −→ Λ(α ⊥) Λ(β α) x −→. The fact that ill-typed terms may not be confluent is not new: for instance, this is already the case with η-reduction in System F. We believe this is not a serious issue. In practice, this means that typechecking should be performed before any program simplification, which is usually the case anyway. 3 Strong Normalization We conjecture, but have not proved, that all reduction sequences are finite. 4 Accommodating Weak Reduction Strategies and Constants In order to show that the calculus may also be used as the core of a programming language, we now introduce constants and restricts the semantics to a weak evaluation strategy.

In our case, they are also exploited to make subject reduction easy—by introducing the language to describe how type instance derivations must be transformed during reduction. ) In both approaches, reduction is split into a standard notion of β-reduction and a new form of reduction (which we call ι-reduction) that only deals with coercions, preserves type-erasures, and is (conjectured to be) strongly normalizing. There are also important differences. While both coercion languages have common forms, our coercions intendedly keep the instance-bounded polymorphism form ∀ (α τ ) τ .

1 ; φ2 ) = = = = α τ τ (τ φ1 ) φ2 (∀ (α (∀ (α (∀ (α τ τ) τ ) τ ) τ ) (∀ ( φ)) τ ) τ ) (∀ (α ) φ) = = = = ∀ (α ⊥) τ α∈ / ftv(τ ) τ {α ← τ } ∀ (α τ φ) τ ∀ (α τ ) (τ φ) Fig. 3. Type instantiation (on types) Example. Let τmin , τcmp , and τand be the types of the parametric minimum and comparison functions and of the conjunction of boolean formulas: τmin ∀ (α ⊥) α → α → α τcmp ∀ (α τand bool → bool → bool ⊥) α → α → bool Let φ be the instantiation ∀ ( bool); . Then, φ : τmin ≤ τand and φ : τcmp ≤ τand hold.

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