Problem AG01 3.7

Tool LMPO

Execution Time
0.044
Answer
MAYBE
InputAG01 3.7

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  half(0()) -> 0()
     , half(s(s(x))) -> s(half(x))
     , log(s(0())) -> 0()
     , log(s(s(x))) -> s(log(s(half(x))))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool MPO

Execution Time
0.038
Answer
YES(?,PRIMREC)
InputAG01 3.7

stdout:

YES(?,PRIMREC)

We consider the following Problem:

  Strict Trs:
    {  half(0()) -> 0()
     , half(s(s(x))) -> s(half(x))
     , log(s(0())) -> 0()
     , log(s(s(x))) -> s(log(s(half(x))))}
  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
  
   s > half, log > s .

Hurray, we answered YES(?,PRIMREC)

Tool POP*

Execution Time
0.024
Answer
MAYBE
InputAG01 3.7

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  half(0()) -> 0()
     , half(s(s(x))) -> s(half(x))
     , log(s(0())) -> 0()
     , log(s(s(x))) -> s(log(s(half(x))))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool POP* (PS)

Execution Time
0.032
Answer
MAYBE
InputAG01 3.7

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  half(0()) -> 0()
     , half(s(s(x))) -> s(half(x))
     , log(s(0())) -> 0()
     , log(s(s(x))) -> s(log(s(half(x))))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool Small POP*

Execution Time
0.034
Answer
MAYBE
InputAG01 3.7

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  half(0()) -> 0()
     , half(s(s(x))) -> s(half(x))
     , log(s(0())) -> 0()
     , log(s(s(x))) -> s(log(s(half(x))))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool Small POP* (PS)

Execution Time
0.039
Answer
MAYBE
InputAG01 3.7

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  half(0()) -> 0()
     , half(s(s(x))) -> s(half(x))
     , log(s(0())) -> 0()
     , log(s(s(x))) -> s(log(s(half(x))))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..