* Step 1: Bounds WORST_CASE(?,O(n^1))
+ Considered Problem:
- Strict TRS:
b(X) -> a(X)
f(a(g(X))) -> b(X)
f(f(X)) -> f(a(b(f(X))))
- Signature:
{b/1,f/1} / {a/1,g/1}
- Obligation:
runtime complexity wrt. defined symbols {b,f} and constructors {a,g}
+ Applied Processor:
Bounds {initialAutomaton = perSymbol, enrichment = match}
+ Details:
The problem is match-bounded by 2.
The enriched problem is compatible with follwoing automaton.
a_0(1) -> 1
a_0(4) -> 1
a_1(1) -> 2
a_1(4) -> 2
a_2(1) -> 3
a_2(4) -> 3
b_0(1) -> 2
b_0(4) -> 2
b_1(1) -> 3
b_1(4) -> 3
f_0(1) -> 3
f_0(4) -> 3
g_0(1) -> 4
g_0(4) -> 4
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
+ Considered Problem:
- Weak TRS:
b(X) -> a(X)
f(a(g(X))) -> b(X)
f(f(X)) -> f(a(b(f(X))))
- Signature:
{b/1,f/1} / {a/1,g/1}
- Obligation:
runtime complexity wrt. defined symbols {b,f} and constructors {a,g}
+ Applied Processor:
EmptyProcessor
+ Details:
The problem is already closed. The intended complexity is O(1).
WORST_CASE(?,O(n^1))