* Step 1: Sum WORST_CASE(Omega(n^1),?)
+ Considered Problem:
- Strict TRS:
f(0(),0(),0(),0(),0()) -> 0()
f(0(),0(),0(),0(),s(x5)) -> f(x5,x5,x5,x5,x5)
f(0(),0(),0(),s(x4),x5) -> f(x4,x4,x4,x4,x5)
f(0(),0(),s(x3),x4,x5) -> f(x3,x3,x3,x4,x5)
f(0(),s(x2),x3,x4,x5) -> f(x2,x2,x3,x4,x5)
f(s(x1),x2,x3,x4,x5) -> f(x1,x2,x3,x4,x5)
- Signature:
{f/5} / {0/0,s/1}
- Obligation:
innermost runtime complexity wrt. defined symbols {f} 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(0(),0(),0(),0(),0()) -> 0()
f(0(),0(),0(),0(),s(x5)) -> f(x5,x5,x5,x5,x5)
f(0(),0(),0(),s(x4),x5) -> f(x4,x4,x4,x4,x5)
f(0(),0(),s(x3),x4,x5) -> f(x3,x3,x3,x4,x5)
f(0(),s(x2),x3,x4,x5) -> f(x2,x2,x3,x4,x5)
f(s(x1),x2,x3,x4,x5) -> f(x1,x2,x3,x4,x5)
- Signature:
{f/5} / {0/0,s/1}
- Obligation:
innermost runtime complexity wrt. defined symbols {f} and constructors {0,s}
+ Applied Processor:
DecreasingLoops {bound = AnyLoop, narrow = 10}
+ Details:
The system has following decreasing Loops:
f(x,y,z,u,v){x -> s(x)} =
f(s(x),y,z,u,v) ->^+ f(x,y,z,u,v)
= C[f(x,y,z,u,v) = f(x,y,z,u,v){}]
WORST_CASE(Omega(n^1),?)