* Step 1: Sum WORST_CASE(Omega(n^1),?)
+ Considered Problem:
- Strict TRS:
ack(0(),y) -> s(y)
ack(s(x),0()) -> ack(x,s(0()))
ack(s(x),s(y)) -> ack(x,ack(s(x),y))
- Signature:
{ack/2} / {0/0,s/1}
- Obligation:
innermost runtime complexity wrt. defined symbols {ack} and constructors {0,s}
+ Applied Processor:
Sum {left = someStrategy, right = someStrategy}
+ Details:
()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
+ Considered Problem:
- Strict TRS:
ack(0(),y) -> s(y)
ack(s(x),0()) -> ack(x,s(0()))
ack(s(x),s(y)) -> ack(x,ack(s(x),y))
- Signature:
{ack/2} / {0/0,s/1}
- Obligation:
innermost runtime complexity wrt. defined symbols {ack} and constructors {0,s}
+ Applied Processor:
DecreasingLoops {bound = AnyLoop, narrow = 10}
+ Details:
The system has following decreasing Loops:
ack(s(x),y){y -> s(y)} =
ack(s(x),s(y)) ->^+ ack(x,ack(s(x),y))
= C[ack(s(x),y) = ack(s(x),y){}]
WORST_CASE(Omega(n^1),?)