diff options
Diffstat (limited to 'sample/AckSZ-3_5.in')
| -rw-r--r-- | sample/AckSZ-3_5.in | 18 |
1 files changed, 18 insertions, 0 deletions
diff --git a/sample/AckSZ-3_5.in b/sample/AckSZ-3_5.in new file mode 100644 index 0000000..0d0ebe4 --- /dev/null +++ b/sample/AckSZ-3_5.in @@ -0,0 +1,18 @@ +// Ackermann function on unary natural numbers +// fun ack(0,y) = y+1 +// | ack(x,0) = ack(x-1,1) +// | ack(x,y) = ack(x-1,ack(x,y-1)); +// +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; + + +dup(a1,a2)>< Z => a1~Z, a2~Z; +dup(a1,a2)>< S(x) => a1~S(w1), a2~S(w2), dup(w1,w2)~x; + +// Ack 3 5 +ack(r, S(S(S(S(S(Z))))))~S(S(S(Z))); +prnat r; +exit; |
