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