|
| 1: |
|
app(app(minus,x),0) |
→ x |
| 2: |
|
app(app(minus,app(s,x)),app(s,y)) |
→ app(app(minus,x),y) |
| 3: |
|
app(f,0) |
→ app(s,0) |
| 4: |
|
app(f,app(s,x)) |
→ app(app(minus,app(s,x)),app(g,app(f,x))) |
| 5: |
|
app(g,0) |
→ 0 |
| 6: |
|
app(g,app(s,x)) |
→ app(app(minus,app(s,x)),app(f,app(g,x))) |
|
There are 11 dependency pairs:
|
| 7: |
|
APP(app(minus,app(s,x)),app(s,y)) |
→ APP(app(minus,x),y) |
| 8: |
|
APP(app(minus,app(s,x)),app(s,y)) |
→ APP(minus,x) |
| 9: |
|
APP(f,0) |
→ APP(s,0) |
| 10: |
|
APP(f,app(s,x)) |
→ APP(app(minus,app(s,x)),app(g,app(f,x))) |
| 11: |
|
APP(f,app(s,x)) |
→ APP(minus,app(s,x)) |
| 12: |
|
APP(f,app(s,x)) |
→ APP(g,app(f,x)) |
| 13: |
|
APP(f,app(s,x)) |
→ APP(f,x) |
| 14: |
|
APP(g,app(s,x)) |
→ APP(app(minus,app(s,x)),app(f,app(g,x))) |
| 15: |
|
APP(g,app(s,x)) |
→ APP(minus,app(s,x)) |
| 16: |
|
APP(g,app(s,x)) |
→ APP(f,app(g,x)) |
| 17: |
|
APP(g,app(s,x)) |
→ APP(g,x) |
|
The approximated dependency graph contains one SCC:
{7,10,12-14,16,17}.