* Step 1: Bounds WORST_CASE(?,O(n^1))
+ Considered Problem:
- Strict TRS:
f(x,x,y) -> x
f(x,y,y) -> y
f(x,y,g(y)) -> x
f(f(x,y,z),u,f(x,y,v)) -> f(x,y,f(z,u,v))
f(g(x),x,y) -> y
- Signature:
{f/3} / {g/1}
- Obligation:
runtime complexity wrt. defined symbols {f} and constructors {g}
+ Applied Processor:
Bounds {initialAutomaton = minimal, enrichment = match}
+ Details:
The problem is match-bounded by 0.
The enriched problem is compatible with follwoing automaton.
f_0(2,2,2) -> 1
g_0(2) -> 1
g_0(2) -> 2
2 -> 1
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
+ Considered Problem:
- Weak TRS:
f(x,x,y) -> x
f(x,y,y) -> y
f(x,y,g(y)) -> x
f(f(x,y,z),u,f(x,y,v)) -> f(x,y,f(z,u,v))
f(g(x),x,y) -> y
- Signature:
{f/3} / {g/1}
- Obligation:
runtime complexity wrt. defined symbols {f} and constructors {g}
+ Applied Processor:
EmptyProcessor
+ Details:
The problem is already closed. The intended complexity is O(1).
WORST_CASE(?,O(n^1))