Problem Zantema 08 ex9

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Zantema 08 ex9

stdout:

MAYBE

Problem:
f(x,y) -> g(f(y,x))
g(g(g(f(x,y)))) -> x

Proof:
Complexity Transformation Processor:
  strict:
   f(x,y) -> g(f(y,x))
   g(g(g(f(x,y)))) -> x
  weak:

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [g](x0) = x0 + 31,

     [f](x0, x1) = x0 + x1 + 100
    orientation:
     f(x,y) = x + y + 100 >= x + y + 131 = g(f(y,x))

     g(g(g(f(x,y)))) = x + y + 193 >= x = x
    problem:
     strict:
      f(x,y) -> g(f(y,x))
     weak:
      g(g(g(f(x,y)))) -> x
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Zantema 08 ex9

stdout:

MAYBE
Warning when parsing problem:

Unsupported strategy 'OUTERMOST'

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Zantema 08 ex9

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  f(x, y) -> g(f(y, x))
     , g(g(g(f(x, y)))) -> x}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Zantema 08 ex9

stdout:

MAYBE
Warning when parsing problem:

Unsupported strategy 'OUTERMOST'

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Zantema 08 ex9

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  f(x, y) -> g(f(y, x))
     , g(g(g(f(x, y)))) -> x}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds