Tool CaT
stdout:
MAYBE
Problem:
f(x) -> g(f(x))
g(g(f(x))) -> x
Proof:
Complexity Transformation Processor:
strict:
f(x) -> g(f(x))
g(g(f(x))) -> x
weak:
Arctic Interpretation Processor:
dimension: 1
interpretation:
[g](x0) = x0,
[f](x0) = 1x0
orientation:
f(x) = 1x >= 1x = g(f(x))
g(g(f(x))) = 1x >= x = x
problem:
strict:
f(x) -> g(f(x))
weak:
g(g(f(x))) -> x
OpenTool IRC1
stdout:
MAYBE
Warning when parsing problem:
Unsupported strategy 'OUTERMOST'Tool IRC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: innermost runtime-complexity with respect to
Rules:
{ f(x) -> g(f(x))
, g(g(f(x))) -> x}
Proof Output:
Computation stopped due to timeout after 60.0 secondsTool RC1
stdout:
MAYBE
Warning when parsing problem:
Unsupported strategy 'OUTERMOST'Tool RC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: runtime-complexity with respect to
Rules:
{ f(x) -> g(f(x))
, g(g(f(x))) -> x}
Proof Output:
Computation stopped due to timeout after 60.0 seconds