LMPO
MAYBE
We consider the following Problem:
Strict Trs:
{ filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
, filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M))
, sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
, sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N)))
, nats(N) -> cons(N, nats(s(N)))
, zprimes() -> sieve(nats(s(s(0()))))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
MPO
MAYBE
We consider the following Problem:
Strict Trs:
{ filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
, filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M))
, sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
, sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N)))
, nats(N) -> cons(N, nats(s(N)))
, zprimes() -> sieve(nats(s(s(0()))))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
POP*
MAYBE
We consider the following Problem:
Strict Trs:
{ filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
, filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M))
, sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
, sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N)))
, nats(N) -> cons(N, nats(s(N)))
, zprimes() -> sieve(nats(s(s(0()))))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
POP* (PS)
MAYBE
We consider the following Problem:
Strict Trs:
{ filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
, filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M))
, sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
, sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N)))
, nats(N) -> cons(N, nats(s(N)))
, zprimes() -> sieve(nats(s(s(0()))))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Small POP*
MAYBE
We consider the following Problem:
Strict Trs:
{ filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
, filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M))
, sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
, sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N)))
, nats(N) -> cons(N, nats(s(N)))
, zprimes() -> sieve(nats(s(s(0()))))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Small POP* (PS)
MAYBE
We consider the following Problem:
Strict Trs:
{ filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
, filter(cons(X, Y), s(N), M) -> cons(X, filter(Y, N, M))
, sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
, sieve(cons(s(N), Y)) -> cons(s(N), sieve(filter(Y, N, N)))
, nats(N) -> cons(N, nats(s(N)))
, zprimes() -> sieve(nats(s(s(0()))))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..