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