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