* Step 1: Sum WORST_CASE(Omega(n^1),?)
+ Considered Problem:
- Strict TRS:
not(and(x,y)) -> or(not(not(not(x))),not(not(not(y))))
not(not(x)) -> x
not(or(x,y)) -> and(not(not(not(x))),not(not(not(y))))
- Signature:
{not/1} / {and/2,or/2}
- Obligation:
innermost runtime complexity wrt. defined symbols {not} and constructors {and,or}
+ Applied Processor:
Sum {left = someStrategy, right = someStrategy}
+ Details:
()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
+ Considered Problem:
- Strict TRS:
not(and(x,y)) -> or(not(not(not(x))),not(not(not(y))))
not(not(x)) -> x
not(or(x,y)) -> and(not(not(not(x))),not(not(not(y))))
- Signature:
{not/1} / {and/2,or/2}
- Obligation:
innermost runtime complexity wrt. defined symbols {not} and constructors {and,or}
+ Applied Processor:
DecreasingLoops {bound = AnyLoop, narrow = 10}
+ Details:
The system has following decreasing Loops:
not(x){x -> and(x,y)} =
not(and(x,y)) ->^+ or(not(not(not(x))),not(not(not(y))))
= C[not(x) = not(x){}]
WORST_CASE(Omega(n^1),?)