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