|
| 1: |
|
app(app(app(fold,f),x),nil) |
→ x |
| 2: |
|
app(app(app(fold,f),x),app(app(cons,y),z)) |
→ app(app(f,y),app(app(app(fold,f),x),z)) |
| 3: |
|
app(app(plus,0),y) |
→ y |
| 4: |
|
app(app(plus,app(s,x)),y) |
→ app(s,app(app(plus,x),y)) |
| 5: |
|
app(app(times,0),y) |
→ 0 |
| 6: |
|
app(app(times,app(s,x)),y) |
→ app(app(plus,app(app(times,x),y)),y) |
| 7: |
|
sum |
→ app(app(fold,add),0) |
| 8: |
|
prod |
→ app(app(fold,mul),app(s,0)) |
|
There are 15 dependency pairs:
|
| 9: |
|
APP(app(app(fold,f),x),app(app(cons,y),z)) |
→ APP(app(f,y),app(app(app(fold,f),x),z)) |
| 10: |
|
APP(app(app(fold,f),x),app(app(cons,y),z)) |
→ APP(f,y) |
| 11: |
|
APP(app(app(fold,f),x),app(app(cons,y),z)) |
→ APP(app(app(fold,f),x),z) |
| 12: |
|
APP(app(plus,app(s,x)),y) |
→ APP(s,app(app(plus,x),y)) |
| 13: |
|
APP(app(plus,app(s,x)),y) |
→ APP(app(plus,x),y) |
| 14: |
|
APP(app(plus,app(s,x)),y) |
→ APP(plus,x) |
| 15: |
|
APP(app(times,app(s,x)),y) |
→ APP(app(plus,app(app(times,x),y)),y) |
| 16: |
|
APP(app(times,app(s,x)),y) |
→ APP(plus,app(app(times,x),y)) |
| 17: |
|
APP(app(times,app(s,x)),y) |
→ APP(app(times,x),y) |
| 18: |
|
APP(app(times,app(s,x)),y) |
→ APP(times,x) |
| 19: |
|
SUM |
→ APP(app(fold,add),0) |
| 20: |
|
SUM |
→ APP(fold,add) |
| 21: |
|
PROD |
→ APP(app(fold,mul),app(s,0)) |
| 22: |
|
PROD |
→ APP(fold,mul) |
| 23: |
|
PROD |
→ APP(s,0) |
|
The approximated dependency graph contains one SCC:
{9-11,13,15,17}.