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einblicker/gist:1156102

Created August 19, 2011 05:17
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CoPL problem 49
Raw
gistfile1.txt
|- let s = fun f -> fun g -> fun x -> f x (g x) in
let k = fun x -> fun y -> x in
s k k 7
evalto 7 by E-Let {
|- fun f -> fun g -> fun x -> f x (g x) evalto ()[fun f -> fun g -> fun x -> f x (g x)] by E-Fun {};
s = ()[fun f -> fun g -> fun x -> f x (g x)] |-
let k = fun x -> fun y -> x in
s k k 7
evalto 7 by E-Let {
s = ()[fun f -> fun g -> fun x -> f x (g x)] |-
fun x -> fun y -> x evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] by E-Fun {};
s = ()[fun f -> fun g -> fun x -> f x (g x)],
k = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
s k k 7
evalto 7 by E-App {
s = ()[fun f -> fun g -> fun x -> f x (g x)],
k = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
((s k) k) evalto (f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x])[fun x -> f x (g x)] by E-App {
s = ()[fun f -> fun g -> fun x -> f x (g x)],
k = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
s k evalto (f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x])[fun g -> fun x -> f x (g x)] by E-App {
s = ()[fun f -> fun g -> fun x -> f x (g x)],
k = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
s evalto ()[fun f -> fun g -> fun x -> f x (g x)] by E-Var2 {
s = ()[fun f -> fun g -> fun x -> f x (g x)] |-
s evalto ()[fun f -> fun g -> fun x -> f x (g x)] by E-Var1 {}
};
s = ()[fun f -> fun g -> fun x -> f x (g x)],
k = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
k evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] by E-Var1 {};
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
fun g -> fun x -> f x (g x)
evalto (f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x])[fun g -> fun x -> f x (g x)] by E-Fun {}
};
s = ()[fun f -> fun g -> fun x -> f x (g x)],
k = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
k evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] by E-Var1 {};
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
fun x -> f x (g x)
evalto (f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x])[fun x -> f x (g x)] by E-Fun {}
};
s = ()[fun f -> fun g -> fun x -> f x (g x)],
k = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
7 evalto 7 by E-Int {};
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
x = 7 |-
((f x) (g x))
evalto 7 by E-App {
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
x = 7 |-
f x evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)], x = 7)[fun y -> x] by E-App {
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
x = 7 |-
f evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] by E-Var2 {
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
f evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] by E-Var2 {
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
f evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] by E-Var1 {}
}
};
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
x = 7 |-
x evalto 7 by E-Var1 {};
s = ()[fun f -> fun g -> fun x -> f x (g x)], x = 7 |-
fun y -> x evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)], x = 7)[fun y -> x] by E-Fun {}
};
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
x = 7 |-
g x evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)], x = 7)[fun y -> x] by E-App {
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
x = 7 |-
g evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] by E-Var2 {
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] |-
g evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x] by E-Var1 {}
};
f = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
g = (s = ()[fun f -> fun g -> fun x -> f x (g x)])[fun x -> fun y -> x],
x = 7 |-
x evalto 7 by E-Var1 {};
s = ()[fun f -> fun g -> fun x -> f x (g x)], x = 7 |-
fun y -> x
evalto (s = ()[fun f -> fun g -> fun x -> f x (g x)], x = 7)[fun y -> x] by E-Fun {}
};
s = ()[fun f -> fun g -> fun x -> f x (g x)],
x = 7,
y = (s = ()[fun f -> fun g -> fun x -> f x (g x)], x = 7)[fun y -> x] |-
x evalto 7 by E-Var2 {
s = ()[fun f -> fun g -> fun x -> f x (g x)],
x = 7 |-
x evalto 7 by E-Var1 {}
}
}
}
}
}
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