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