Tool CaT
stdout:
MAYBE
Problem:
plus(s(s(x)),y) -> s(plus(x,s(y)))
plus(x,s(s(y))) -> s(plus(s(x),y))
plus(s(0()),y) -> s(y)
plus(0(),y) -> y
ack(0(),y) -> s(y)
ack(s(x),0()) -> ack(x,s(0()))
ack(s(x),s(y)) -> ack(x,plus(y,ack(s(x),y)))
Proof:
OpenTool IRC1
stdout:
MAYBE
Tool IRC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: innermost runtime-complexity with respect to
Rules:
{ plus(s(s(x)), y) -> s(plus(x, s(y)))
, plus(x, s(s(y))) -> s(plus(s(x), y))
, plus(s(0()), y) -> s(y)
, plus(0(), y) -> y
, ack(0(), y) -> s(y)
, ack(s(x), 0()) -> ack(x, s(0()))
, ack(s(x), s(y)) -> ack(x, plus(y, ack(s(x), y)))}
Proof Output:
Computation stopped due to timeout after 60.0 secondsTool RC1
stdout:
MAYBE
Tool RC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: runtime-complexity with respect to
Rules:
{ plus(s(s(x)), y) -> s(plus(x, s(y)))
, plus(x, s(s(y))) -> s(plus(s(x), y))
, plus(s(0()), y) -> s(y)
, plus(0(), y) -> y
, ack(0(), y) -> s(y)
, ack(s(x), 0()) -> ack(x, s(0()))
, ack(s(x), s(y)) -> ack(x, plus(y, ack(s(x), y)))}
Proof Output:
Computation stopped due to timeout after 60.0 seconds