v0.12.0

1 files changed, 0 insertions, 49 deletions

diff --git a/sample/AckSZ-3_5.in b/sample/AckSZ-3_5.in
deleted file mode 100644
index 4f41966..0000000
--- a/sample/AckSZ-3_5.in
+++ /dev/null
@@ -1,49 +0,0 @@
-// Ackermann function on unary natural numbers
-
-// Originally the function is written as follows:
-// fun ack(0,y) = y+1
-//   | ack(x,0) = ack(x-1,1)        
-//   | ack(x,y) = ack(x-1,ack(x,y-1));
-
-// This is written one on unary natural nunbers:
-// fun ack(Z   ,    y) = S(y)
-//   | ack(S(x),    Z) = ack(x,S(Z))        
-//   | ack(S(x), S(y)) = ack(x,ack(S(x),y));
-
-// For easily translation to interaction nets,
-// the first argument will be moved to the last:
-// fun ack(y,       Z) = S(y)
-//   | ack(Z,    S(x)) = ack(S(Z),x)        
-//   | ack(S(y), S(x)) = ack(ack(y,S(x)),x);
-
-// It is traslated directly as follows:
-// ack(r,y)>< Z    => r~S(y);
-// ack(r,y)>< S(x) => ack_Sx(r, x)~y;
-// ack_Sx(r,x)>< Z    => ack(r, S(Z))~x;
-// ack_Sx(r,x)>< S(y) => Dup(x1,x2)~x, ack(r,cnt)~x1, ack(cnt,y)~S(x2);
-
-// The last connection can be optimised by applying the rule ack><S,
-// so finally we get the following as the result of the translation:
-ack(r,y)>< Z    => r~S(y);
-ack(r,y)>< S(x) => ack_Sx(r, x)~y;
-ack_Sx(r,x)>< Z    => ack(r, S(Z))~x;
-ack_Sx(r,x)>< S(y) => Dup(x1,x2)~x, ack(r,cnt)~x1, ack_Sx(cnt,x2)~y;
-
-
-// By the way, it is possible to write it by using abbreviation notation:
-// ack(r,y)>< Z    => r~S(y);
-// ack(r,y)>< S(x) => r<<ack_Sx(x,y);
-// ack_Sx(r,x)>< Z    => r<<ack(S(Z),x);
-// ack_Sx(r,x)>< S(y) => x1,x2<<Dup(x), r<<ack(cnt,x1), cnt<<ack_Sx(x2,y);
-
-
-// Dup is defined as built-in:
-// Dup(a1,a2)>< Z => a1~Z, a2~Z;
-// Dup(a1,a2)>< S(x) => a1~S(w1), a2~S(w2), Dup(w1,w2)~x;
-
-// ack(result, y)~x
-// For computation `ack 3 5', it is written as follows:
-ack(result, S(S(S(S(S(Z))))))~S(S(S(Z)));
-
-prnat result;
-exit;