|
| 1: |
|
app(app(minus,x),0) |
→ x |
| 2: |
|
app(app(minus,app(s,x)),app(s,y)) |
→ app(app(minus,x),y) |
| 3: |
|
app(app(quot,0),app(s,y)) |
→ 0 |
| 4: |
|
app(app(quot,app(s,x)),app(s,y)) |
→ app(s,app(app(quot,app(app(minus,x),y)),app(s,y))) |
| 5: |
|
app(app(plus,0),y) |
→ y |
| 6: |
|
app(app(plus,app(s,x)),y) |
→ app(s,app(app(plus,x),y)) |
| 7: |
|
app(app(plus,app(app(minus,x),app(s,0))),app(app(minus,y),app(s,app(s,z)))) |
→ app(app(plus,app(app(minus,y),app(s,app(s,z)))),app(app(minus,x),app(s,0))) |
| 8: |
|
app(app(plus,app(app(plus,x),app(s,0))),app(app(plus,y),app(s,app(s,z)))) |
→ app(app(plus,app(app(plus,y),app(s,app(s,z)))),app(app(plus,x),app(s,0))) |
|
There are 14 dependency pairs:
|
| 9: |
|
APP(app(minus,app(s,x)),app(s,y)) |
→ APP(app(minus,x),y) |
| 10: |
|
APP(app(minus,app(s,x)),app(s,y)) |
→ APP(minus,x) |
| 11: |
|
APP(app(quot,app(s,x)),app(s,y)) |
→ APP(s,app(app(quot,app(app(minus,x),y)),app(s,y))) |
| 12: |
|
APP(app(quot,app(s,x)),app(s,y)) |
→ APP(app(quot,app(app(minus,x),y)),app(s,y)) |
| 13: |
|
APP(app(quot,app(s,x)),app(s,y)) |
→ APP(quot,app(app(minus,x),y)) |
| 14: |
|
APP(app(quot,app(s,x)),app(s,y)) |
→ APP(app(minus,x),y) |
| 15: |
|
APP(app(quot,app(s,x)),app(s,y)) |
→ APP(minus,x) |
| 16: |
|
APP(app(plus,app(s,x)),y) |
→ APP(s,app(app(plus,x),y)) |
| 17: |
|
APP(app(plus,app(s,x)),y) |
→ APP(app(plus,x),y) |
| 18: |
|
APP(app(plus,app(s,x)),y) |
→ APP(plus,x) |
| 19: |
|
APP(app(plus,app(app(minus,x),app(s,0))),app(app(minus,y),app(s,app(s,z)))) |
→ APP(app(plus,app(app(minus,y),app(s,app(s,z)))),app(app(minus,x),app(s,0))) |
| 20: |
|
APP(app(plus,app(app(minus,x),app(s,0))),app(app(minus,y),app(s,app(s,z)))) |
→ APP(plus,app(app(minus,y),app(s,app(s,z)))) |
| 21: |
|
APP(app(plus,app(app(plus,x),app(s,0))),app(app(plus,y),app(s,app(s,z)))) |
→ APP(app(plus,app(app(plus,y),app(s,app(s,z)))),app(app(plus,x),app(s,0))) |
| 22: |
|
APP(app(plus,app(app(plus,x),app(s,0))),app(app(plus,y),app(s,app(s,z)))) |
→ APP(plus,app(app(plus,y),app(s,app(s,z)))) |
|
The approximated dependency graph contains one SCC:
{9,12,14,17,19,21}.