LMPO
MAYBE
We consider the following Problem:
Strict Trs:
{ fib(N) -> sel(N, fib1(s(0()), s(0())))
, fib1(X, Y) -> cons(X, n__fib1(Y, add(X, Y)))
, add(0(), X) -> X
, add(s(X), Y) -> s(add(X, Y))
, sel(0(), cons(X, XS)) -> X
, sel(s(N), cons(X, XS)) -> sel(N, activate(XS))
, fib1(X1, X2) -> n__fib1(X1, X2)
, activate(n__fib1(X1, X2)) -> fib1(X1, X2)
, activate(X) -> X}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
MPO
MAYBE
We consider the following Problem:
Strict Trs:
{ fib(N) -> sel(N, fib1(s(0()), s(0())))
, fib1(X, Y) -> cons(X, n__fib1(Y, add(X, Y)))
, add(0(), X) -> X
, add(s(X), Y) -> s(add(X, Y))
, sel(0(), cons(X, XS)) -> X
, sel(s(N), cons(X, XS)) -> sel(N, activate(XS))
, fib1(X1, X2) -> n__fib1(X1, X2)
, activate(n__fib1(X1, X2)) -> fib1(X1, X2)
, activate(X) -> X}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
POP*
MAYBE
We consider the following Problem:
Strict Trs:
{ fib(N) -> sel(N, fib1(s(0()), s(0())))
, fib1(X, Y) -> cons(X, n__fib1(Y, add(X, Y)))
, add(0(), X) -> X
, add(s(X), Y) -> s(add(X, Y))
, sel(0(), cons(X, XS)) -> X
, sel(s(N), cons(X, XS)) -> sel(N, activate(XS))
, fib1(X1, X2) -> n__fib1(X1, X2)
, activate(n__fib1(X1, X2)) -> fib1(X1, X2)
, activate(X) -> X}
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:
{ fib(N) -> sel(N, fib1(s(0()), s(0())))
, fib1(X, Y) -> cons(X, n__fib1(Y, add(X, Y)))
, add(0(), X) -> X
, add(s(X), Y) -> s(add(X, Y))
, sel(0(), cons(X, XS)) -> X
, sel(s(N), cons(X, XS)) -> sel(N, activate(XS))
, fib1(X1, X2) -> n__fib1(X1, X2)
, activate(n__fib1(X1, X2)) -> fib1(X1, X2)
, activate(X) -> X}
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:
{ fib(N) -> sel(N, fib1(s(0()), s(0())))
, fib1(X, Y) -> cons(X, n__fib1(Y, add(X, Y)))
, add(0(), X) -> X
, add(s(X), Y) -> s(add(X, Y))
, sel(0(), cons(X, XS)) -> X
, sel(s(N), cons(X, XS)) -> sel(N, activate(XS))
, fib1(X1, X2) -> n__fib1(X1, X2)
, activate(n__fib1(X1, X2)) -> fib1(X1, X2)
, activate(X) -> X}
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:
{ fib(N) -> sel(N, fib1(s(0()), s(0())))
, fib1(X, Y) -> cons(X, n__fib1(Y, add(X, Y)))
, add(0(), X) -> X
, add(s(X), Y) -> s(add(X, Y))
, sel(0(), cons(X, XS)) -> X
, sel(s(N), cons(X, XS)) -> sel(N, activate(XS))
, fib1(X1, X2) -> n__fib1(X1, X2)
, activate(n__fib1(X1, X2)) -> fib1(X1, X2)
, activate(X) -> X}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..