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