* Step 1: Sum WORST_CASE(Omega(n^1),?)
+ Considered Problem:
- Strict TRS:
f(t(),x,y) -> f(g(x,y),x,s(y))
g(s(x),0()) -> t()
g(s(x),s(y)) -> g(x,y)
- Signature:
{f/3,g/2} / {0/0,s/1,t/0}
- Obligation:
innermost runtime complexity wrt. defined symbols {f,g} and constructors {0,s,t}
+ Applied Processor:
Sum {left = someStrategy, right = someStrategy}
+ Details:
()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
+ Considered Problem:
- Strict TRS:
f(t(),x,y) -> f(g(x,y),x,s(y))
g(s(x),0()) -> t()
g(s(x),s(y)) -> g(x,y)
- Signature:
{f/3,g/2} / {0/0,s/1,t/0}
- Obligation:
innermost runtime complexity wrt. defined symbols {f,g} and constructors {0,s,t}
+ Applied Processor:
DecreasingLoops {bound = AnyLoop, narrow = 10}
+ Details:
The system has following decreasing Loops:
g(x,y){x -> s(x),y -> s(y)} =
g(s(x),s(y)) ->^+ g(x,y)
= C[g(x,y) = g(x,y){}]
WORST_CASE(Omega(n^1),?)