LMPO
MAYBE
We consider the following Problem:
Strict Trs:
{ ge(x, 0()) -> true()
, ge(0(), s(y)) -> false()
, ge(s(x), s(y)) -> ge(x, y)
, minus(x, 0()) -> x
, minus(0(), y) -> 0()
, minus(s(x), s(y)) -> minus(x, y)
, id_inc(x) -> x
, id_inc(x) -> s(x)
, div(x, y) -> if(ge(y, s(0())), ge(x, y), x, y)
, if(false(), b, x, y) -> div_by_zero()
, if(true(), false(), x, y) -> 0()
, if(true(), true(), x, y) -> id_inc(div(minus(x, y), y))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
MPO
MAYBE
We consider the following Problem:
Strict Trs:
{ ge(x, 0()) -> true()
, ge(0(), s(y)) -> false()
, ge(s(x), s(y)) -> ge(x, y)
, minus(x, 0()) -> x
, minus(0(), y) -> 0()
, minus(s(x), s(y)) -> minus(x, y)
, id_inc(x) -> x
, id_inc(x) -> s(x)
, div(x, y) -> if(ge(y, s(0())), ge(x, y), x, y)
, if(false(), b, x, y) -> div_by_zero()
, if(true(), false(), x, y) -> 0()
, if(true(), true(), x, y) -> id_inc(div(minus(x, y), y))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
POP*
MAYBE
We consider the following Problem:
Strict Trs:
{ ge(x, 0()) -> true()
, ge(0(), s(y)) -> false()
, ge(s(x), s(y)) -> ge(x, y)
, minus(x, 0()) -> x
, minus(0(), y) -> 0()
, minus(s(x), s(y)) -> minus(x, y)
, id_inc(x) -> x
, id_inc(x) -> s(x)
, div(x, y) -> if(ge(y, s(0())), ge(x, y), x, y)
, if(false(), b, x, y) -> div_by_zero()
, if(true(), false(), x, y) -> 0()
, if(true(), true(), x, y) -> id_inc(div(minus(x, y), y))}
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:
{ ge(x, 0()) -> true()
, ge(0(), s(y)) -> false()
, ge(s(x), s(y)) -> ge(x, y)
, minus(x, 0()) -> x
, minus(0(), y) -> 0()
, minus(s(x), s(y)) -> minus(x, y)
, id_inc(x) -> x
, id_inc(x) -> s(x)
, div(x, y) -> if(ge(y, s(0())), ge(x, y), x, y)
, if(false(), b, x, y) -> div_by_zero()
, if(true(), false(), x, y) -> 0()
, if(true(), true(), x, y) -> id_inc(div(minus(x, y), y))}
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:
{ ge(x, 0()) -> true()
, ge(0(), s(y)) -> false()
, ge(s(x), s(y)) -> ge(x, y)
, minus(x, 0()) -> x
, minus(0(), y) -> 0()
, minus(s(x), s(y)) -> minus(x, y)
, id_inc(x) -> x
, id_inc(x) -> s(x)
, div(x, y) -> if(ge(y, s(0())), ge(x, y), x, y)
, if(false(), b, x, y) -> div_by_zero()
, if(true(), false(), x, y) -> 0()
, if(true(), true(), x, y) -> id_inc(div(minus(x, y), y))}
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:
{ ge(x, 0()) -> true()
, ge(0(), s(y)) -> false()
, ge(s(x), s(y)) -> ge(x, y)
, minus(x, 0()) -> x
, minus(0(), y) -> 0()
, minus(s(x), s(y)) -> minus(x, y)
, id_inc(x) -> x
, id_inc(x) -> s(x)
, div(x, y) -> if(ge(y, s(0())), ge(x, y), x, y)
, if(false(), b, x, y) -> div_by_zero()
, if(true(), false(), x, y) -> 0()
, if(true(), true(), x, y) -> id_inc(div(minus(x, y), y))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..