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Notation for debugging type derivations.I want to produce traces of the type derivations for compositional type inference to help debugging programs. Currently the reports look like this: var --------------------------------------- x : {x : a} |- a var --------------------------------------- y : {y : a} |- a x : {x : a} |- a y : {y : a} |- a app --------------------------------------- (x y) : {x : (a -> b), y : a} |- b var --------------------------------------- z : {z : a} |- a (x y) : {x : (a -> b), y : a} |- b z : {z : a} |- a app --------------------------------------- ((x y) z) : {x : (a -> (b -> c)), y : a, z : b} |- c However repeating the typings in each derivation seems a bit of a waste of space. I am thinking I can just reference which rule is used and number the statements, a bit like a theorem proof. Something like: 1) var |= x : {x : a} |- a 2) var |= y : {y : a} |- a 3) app (1) (2) |= (x y) : {x : (a -> b), y : a} |- b 4) var |= z : {z : a} |- a 5) app (3) (4) |= ((x y) z) : {x : (a -> (b -> c)), y : a, z : b} |- c Does this seem a reasonable notation? it the use of the double-turnstile "|=" a misuse of notation? Is there a better way to write this? By Keean Schupke at 2014-06-05 16:30 | LtU Forum | previous forum topic | next forum topic | other blogs | 4075 reads
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