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Diffstat (limited to 'files/practicum/Lambda.icl')
-rw-r--r-- | files/practicum/Lambda.icl | 73 |
1 files changed, 73 insertions, 0 deletions
diff --git a/files/practicum/Lambda.icl b/files/practicum/Lambda.icl new file mode 100644 index 0000000..25c5405 --- /dev/null +++ b/files/practicum/Lambda.icl @@ -0,0 +1,73 @@ +implementation module Lambda + +import StdEnv + +:: Term = C Value // constante v (C v) + | X Index // variabele x_i (X i) + | (@.) infixl 7 Term Term // applicatie (t1 t2) (t1 @. t2) + | \. Index Term // abstractie (\x_i . t) (\. i t) +:: Value :== Int // willekeurige integer waarde +:: Index :== Int // index (gebruikelijk i >= 0) + +t0 = (C 42) // 42 +t1 = (X 0) // x_0 +t2 = (\.0 (X 0)) // (\x_0 . x_0) +t3 = (\.0 (X 0)) @. (C 42) // (\x_0 . x_0) 42 +t4 = (\.0 ((X 0) @. (X 0))) @. (\.1 ((X 1) @. (X 1))) // (\x_0 . x_0 x_0) (\x_1 . x_1 x_1) +t5 = (\.0 (\.1 (X 0))) // (\x_0 . (\x_1 . x_0)) +t6 = (\.0 (\.1 (X 0))) @. (C 42) @. t4 // ((\x_0 . (\x_1 . x_0)) 42) ((\x_0 . x_0 x_0) (\x_1 . x_1 x_1)) + +terms = [t0, t1, t2, t3, t4, t5, t6] + +instance toString Term where + toString ... + +Start = foldr (\s1 s2 -> s1 +++ "\n" +++ s2) "\n" (map toString terms) + +nf :: Term -> Bool +nf ... + +//Start = map nf terms + + +vars :: Term -> [Index] +vars ... + +//Start = map vars terms + +fresh :: [Term] -> Index +fresh ... + +//Start = fresh terms + + +(<:) infixl 6 :: Term (Index,Term) -> Term +(<:) ... + +//Start = (((X 2) @. t1) @. (\.0 t1)) <: (0,C 50) + +beta_reduce :: Term Term -> Term +beta_reduce ... + +//Start = beta_reduce (\.0 ((X 0) @. (X 0))) (\.0 ((X 0) @. (X 0))) + + +normal_order :: Term -> Term +normal_order ... + +applicative_order :: Term -> Term +applicative_order ... + +/* +Start = ( toString t + , '\n', toString (normal_order t) + , '\n', toString (applicative_order t) + ) +where + t = (\.0 (\.1 (X 0))) @. ((\.0 (X 0)) @. (C 42)) @. (C 50) +*/ + +herschrijf :: (Term -> Term) Term -> Term +herschrijf ... + +//Start = herschrijf normal_order t3 |