Termination Proof Script
Consider the TRS R consisting of the rewrite rules
|
| 1: |
|
filter(cons(X),0,M) |
→ cons(0) |
| 2: |
|
filter(cons(X),s(N),M) |
→ cons(X) |
| 3: |
|
sieve(cons(0)) |
→ cons(0) |
| 4: |
|
sieve(cons(s(N))) |
→ cons(s(N)) |
| 5: |
|
nats(N) |
→ cons(N) |
| 6: |
|
zprimes |
→ sieve(nats(s(s(0)))) |
|
There are 2 dependency pairs:
|
| 7: |
|
ZPRIMES |
→ SIEVE(nats(s(s(0)))) |
| 8: |
|
ZPRIMES |
→ NATS(s(s(0))) |
|
The approximated dependency graph contains no SCCs
and hence the TRS is trivially terminating.
Tyrolean Termination Tool (0.01 seconds)
--- May 3, 2006