Problem Strategy outermost added 08 Ex3 2 Luc97

LMPO

Execution Time (secs)
0.061
Answer
MAYBE
InputStrategy outermost added 08 Ex3 2 Luc97
MAYBE

We consider the following Problem:

  Strict Trs:
    {  dbl(0()) -> 0()
     , dbl(s(X)) -> s(s(dbl(X)))
     , dbls(nil()) -> nil()
     , dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y))
     , sel(0(), cons(X, Y)) -> X
     , sel(s(X), cons(Y, Z)) -> sel(X, Z)
     , indx(nil(), X) -> nil()
     , indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z))
     , from(X) -> cons(X, from(s(X)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

MPO

Execution Time (secs)
0.076
Answer
MAYBE
InputStrategy outermost added 08 Ex3 2 Luc97
MAYBE

We consider the following Problem:

  Strict Trs:
    {  dbl(0()) -> 0()
     , dbl(s(X)) -> s(s(dbl(X)))
     , dbls(nil()) -> nil()
     , dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y))
     , sel(0(), cons(X, Y)) -> X
     , sel(s(X), cons(Y, Z)) -> sel(X, Z)
     , indx(nil(), X) -> nil()
     , indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z))
     , from(X) -> cons(X, from(s(X)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

POP*

Execution Time (secs)
0.110
Answer
MAYBE
InputStrategy outermost added 08 Ex3 2 Luc97
MAYBE

We consider the following Problem:

  Strict Trs:
    {  dbl(0()) -> 0()
     , dbl(s(X)) -> s(s(dbl(X)))
     , dbls(nil()) -> nil()
     , dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y))
     , sel(0(), cons(X, Y)) -> X
     , sel(s(X), cons(Y, Z)) -> sel(X, Z)
     , indx(nil(), X) -> nil()
     , indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z))
     , from(X) -> cons(X, from(s(X)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

POP* (PS)

Execution Time (secs)
0.063
Answer
MAYBE
InputStrategy outermost added 08 Ex3 2 Luc97
MAYBE

We consider the following Problem:

  Strict Trs:
    {  dbl(0()) -> 0()
     , dbl(s(X)) -> s(s(dbl(X)))
     , dbls(nil()) -> nil()
     , dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y))
     , sel(0(), cons(X, Y)) -> X
     , sel(s(X), cons(Y, Z)) -> sel(X, Z)
     , indx(nil(), X) -> nil()
     , indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z))
     , from(X) -> cons(X, from(s(X)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Small POP*

Execution Time (secs)
0.070
Answer
MAYBE
InputStrategy outermost added 08 Ex3 2 Luc97
MAYBE

We consider the following Problem:

  Strict Trs:
    {  dbl(0()) -> 0()
     , dbl(s(X)) -> s(s(dbl(X)))
     , dbls(nil()) -> nil()
     , dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y))
     , sel(0(), cons(X, Y)) -> X
     , sel(s(X), cons(Y, Z)) -> sel(X, Z)
     , indx(nil(), X) -> nil()
     , indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z))
     , from(X) -> cons(X, from(s(X)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Small POP* (PS)

Execution Time (secs)
0.121
Answer
MAYBE
InputStrategy outermost added 08 Ex3 2 Luc97
MAYBE

We consider the following Problem:

  Strict Trs:
    {  dbl(0()) -> 0()
     , dbl(s(X)) -> s(s(dbl(X)))
     , dbls(nil()) -> nil()
     , dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y))
     , sel(0(), cons(X, Y)) -> X
     , sel(s(X), cons(Y, Z)) -> sel(X, Z)
     , indx(nil(), X) -> nil()
     , indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z))
     , from(X) -> cons(X, from(s(X)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..