Problem AG01 3.16

LMPO

Execution Time (secs)
0.046
Answer
MAYBE
InputAG01 3.16
MAYBE

We consider the following Problem:

  Strict Trs:
    {  times(x, 0()) -> 0()
     , times(x, s(y)) -> plus(times(x, y), x)
     , plus(x, 0()) -> x
     , plus(0(), x) -> x
     , plus(x, s(y)) -> s(plus(x, y))
     , plus(s(x), y) -> s(plus(x, y))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

MPO

Execution Time (secs)
0.053
Answer
YES(?,PRIMREC)
InputAG01 3.16
YES(?,PRIMREC)

We consider the following Problem:

  Strict Trs:
    {  times(x, 0()) -> 0()
     , times(x, s(y)) -> plus(times(x, y), x)
     , plus(x, 0()) -> x
     , plus(0(), x) -> x
     , plus(x, s(y)) -> s(plus(x, y))
     , plus(s(x), y) -> s(plus(x, y))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: YES(?,PRIMREC)

Proof:
  The input was oriented with the instance of
  'multiset path orders' as induced by the precedence
  
   times > plus, plus > s .

Hurray, we answered YES(?,PRIMREC)

POP*

Execution Time (secs)
0.043
Answer
MAYBE
InputAG01 3.16
MAYBE

We consider the following Problem:

  Strict Trs:
    {  times(x, 0()) -> 0()
     , times(x, s(y)) -> plus(times(x, y), x)
     , plus(x, 0()) -> x
     , plus(0(), x) -> x
     , plus(x, s(y)) -> s(plus(x, y))
     , plus(s(x), y) -> s(plus(x, y))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

POP* (PS)

Execution Time (secs)
0.038
Answer
MAYBE
InputAG01 3.16
MAYBE

We consider the following Problem:

  Strict Trs:
    {  times(x, 0()) -> 0()
     , times(x, s(y)) -> plus(times(x, y), x)
     , plus(x, 0()) -> x
     , plus(0(), x) -> x
     , plus(x, s(y)) -> s(plus(x, y))
     , plus(s(x), y) -> s(plus(x, y))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Small POP*

Execution Time (secs)
0.034
Answer
MAYBE
InputAG01 3.16
MAYBE

We consider the following Problem:

  Strict Trs:
    {  times(x, 0()) -> 0()
     , times(x, s(y)) -> plus(times(x, y), x)
     , plus(x, 0()) -> x
     , plus(0(), x) -> x
     , plus(x, s(y)) -> s(plus(x, y))
     , plus(s(x), y) -> s(plus(x, y))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Small POP* (PS)

Execution Time (secs)
0.053
Answer
MAYBE
InputAG01 3.16
MAYBE

We consider the following Problem:

  Strict Trs:
    {  times(x, 0()) -> 0()
     , times(x, s(y)) -> plus(times(x, y), x)
     , plus(x, 0()) -> x
     , plus(0(), x) -> x
     , plus(x, s(y)) -> s(plus(x, y))
     , plus(s(x), y) -> s(plus(x, y))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..