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