LMPO
MAYBE
We consider the following Problem:
Strict Trs:
{ f(true(), x, y, z) -> g(gt(x, y), x, y, z)
, g(true(), x, y, z) -> f(gt(x, z), x, s(y), z)
, g(true(), x, y, z) -> f(gt(x, z), x, y, s(z))
, gt(0(), v) -> false()
, gt(s(u), 0()) -> true()
, gt(s(u), s(v)) -> gt(u, v)}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
MPO
MAYBE
We consider the following Problem:
Strict Trs:
{ f(true(), x, y, z) -> g(gt(x, y), x, y, z)
, g(true(), x, y, z) -> f(gt(x, z), x, s(y), z)
, g(true(), x, y, z) -> f(gt(x, z), x, y, s(z))
, gt(0(), v) -> false()
, gt(s(u), 0()) -> true()
, gt(s(u), s(v)) -> gt(u, v)}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
POP*
MAYBE
We consider the following Problem:
Strict Trs:
{ f(true(), x, y, z) -> g(gt(x, y), x, y, z)
, g(true(), x, y, z) -> f(gt(x, z), x, s(y), z)
, g(true(), x, y, z) -> f(gt(x, z), x, y, s(z))
, gt(0(), v) -> false()
, gt(s(u), 0()) -> true()
, gt(s(u), s(v)) -> gt(u, v)}
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:
{ f(true(), x, y, z) -> g(gt(x, y), x, y, z)
, g(true(), x, y, z) -> f(gt(x, z), x, s(y), z)
, g(true(), x, y, z) -> f(gt(x, z), x, y, s(z))
, gt(0(), v) -> false()
, gt(s(u), 0()) -> true()
, gt(s(u), s(v)) -> gt(u, v)}
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:
{ f(true(), x, y, z) -> g(gt(x, y), x, y, z)
, g(true(), x, y, z) -> f(gt(x, z), x, s(y), z)
, g(true(), x, y, z) -> f(gt(x, z), x, y, s(z))
, gt(0(), v) -> false()
, gt(s(u), 0()) -> true()
, gt(s(u), s(v)) -> gt(u, v)}
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:
{ f(true(), x, y, z) -> g(gt(x, y), x, y, z)
, g(true(), x, y, z) -> f(gt(x, z), x, s(y), z)
, g(true(), x, y, z) -> f(gt(x, z), x, y, s(z))
, gt(0(), v) -> false()
, gt(s(u), 0()) -> true()
, gt(s(u), s(v)) -> gt(u, v)}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..