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