Ronald Garcia - Program-Transformation.Org
Ronald Garcia - Program-Transformation.Org
Ronald Garcia - Program-Transformation.Org
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f ≡ (λx : Int. if 0 < x then Dyn ⇐ Bool<br />
Higher-Order Casts<br />
Higher-order casts are checked when the function is<br />
applied.<br />
else Dyn ⇐ Int2)<br />
...Int →Int ⇐ Int → Dyn f ...<br />
• Solution: delay checking and perform blame<br />
(Findler and Felleisen 2002, Wadler and Find<br />
& 2009).<br />
f ≡ (λx : Int. if 0 < x then Dyn ⇐ BoolTrue<br />
else Dyn ⇐ Int2)<br />
(λg. g 1) (Int →Int ⇐ Int →Dynf )<br />
−→ (Int →Int ⇐ Int →Dynf ) 1<br />
−→<br />
Int ⇐ Dyn(f Int ⇐ Int1)<br />
−→ Int ⇐ Dyn(f 1)<br />
Jeremy Siek, <strong>Ronald</strong> <strong>Garcia</strong>, Walid Taha<br />
−→ ∗<br />
Higher-Order Casts<br />
Int ⇐ DynDyn ⇐ BoolTrue<br />
Findler and Felleisen, 2002<br />
Friday, December 7, 2012
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