* Step 1: Sum WORST_CASE(Omega(n^1),?)
+ Considered Problem:
- Strict TRS:
a__c() -> a()
a__c() -> b()
a__c() -> c()
a__f(X1,X2,X3) -> f(X1,X2,X3)
a__f(a(),b(),X) -> a__f(X,X,mark(X))
mark(a()) -> a()
mark(b()) -> b()
mark(c()) -> a__c()
mark(f(X1,X2,X3)) -> a__f(X1,X2,mark(X3))
- Signature:
{a__c/0,a__f/3,mark/1} / {a/0,b/0,c/0,f/3}
- Obligation:
innermost runtime complexity wrt. defined symbols {a__c,a__f,mark} and constructors {a,b,c,f}
+ Applied Processor:
Sum {left = someStrategy, right = someStrategy}
+ Details:
()
* Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?)
+ Considered Problem:
- Strict TRS:
a__c() -> a()
a__c() -> b()
a__c() -> c()
a__f(X1,X2,X3) -> f(X1,X2,X3)
a__f(a(),b(),X) -> a__f(X,X,mark(X))
mark(a()) -> a()
mark(b()) -> b()
mark(c()) -> a__c()
mark(f(X1,X2,X3)) -> a__f(X1,X2,mark(X3))
- Signature:
{a__c/0,a__f/3,mark/1} / {a/0,b/0,c/0,f/3}
- Obligation:
innermost runtime complexity wrt. defined symbols {a__c,a__f,mark} and constructors {a,b,c,f}
+ Applied Processor:
DecreasingLoops {bound = AnyLoop, narrow = 10}
+ Details:
The system has following decreasing Loops:
mark(z){z -> f(x,y,z)} =
mark(f(x,y,z)) ->^+ a__f(x,y,mark(z))
= C[mark(z) = mark(z){}]
WORST_CASE(Omega(n^1),?)