LMPO
MAYBE
We consider the following Problem:
Strict Trs:
{ f(true(), x, y) -> f(gt(x, y), trunc(x), s(y))
, trunc(0()) -> 0()
, trunc(s(0())) -> 0()
, trunc(s(s(x))) -> s(s(trunc(x)))
, 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) -> f(gt(x, y), trunc(x), s(y))
, trunc(0()) -> 0()
, trunc(s(0())) -> 0()
, trunc(s(s(x))) -> s(s(trunc(x)))
, 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) -> f(gt(x, y), trunc(x), s(y))
, trunc(0()) -> 0()
, trunc(s(0())) -> 0()
, trunc(s(s(x))) -> s(s(trunc(x)))
, 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) -> f(gt(x, y), trunc(x), s(y))
, trunc(0()) -> 0()
, trunc(s(0())) -> 0()
, trunc(s(s(x))) -> s(s(trunc(x)))
, 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) -> f(gt(x, y), trunc(x), s(y))
, trunc(0()) -> 0()
, trunc(s(0())) -> 0()
, trunc(s(s(x))) -> s(s(trunc(x)))
, 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) -> f(gt(x, y), trunc(x), s(y))
, trunc(0()) -> 0()
, trunc(s(0())) -> 0()
, trunc(s(s(x))) -> s(s(trunc(x)))
, 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..