* Step 1: Bounds WORST_CASE(?,O(n^1))
+ Considered Problem:
- Strict TRS:
f(f(x)) -> f(x)
f(s(x)) -> f(x)
g(s(0())) -> g(f(s(0())))
- Signature:
{f/1,g/1} / {0/0,s/1}
- Obligation:
runtime complexity wrt. defined symbols {f,g} and constructors {0,s}
+ Applied Processor:
Bounds {initialAutomaton = minimal, enrichment = match}
+ Details:
The problem is match-bounded by 2.
The enriched problem is compatible with follwoing automaton.
0_0() -> 2
0_1() -> 5
f_0(2) -> 1
f_1(2) -> 1
f_1(4) -> 3
f_2(5) -> 3
g_0(2) -> 1
g_1(3) -> 1
s_0(2) -> 2
s_1(5) -> 4
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
+ Considered Problem:
- Weak TRS:
f(f(x)) -> f(x)
f(s(x)) -> f(x)
g(s(0())) -> g(f(s(0())))
- Signature:
{f/1,g/1} / {0/0,s/1}
- Obligation:
runtime complexity wrt. defined symbols {f,g} and constructors {0,s}
+ Applied Processor:
EmptyProcessor
+ Details:
The problem is already closed. The intended complexity is O(1).
WORST_CASE(?,O(n^1))