* Step 1: Bounds WORST_CASE(?,O(n^1))
+ Considered Problem:
- Strict TRS:
a(0(),x) -> c(c(x))
c(c(x)) -> b(c(b(c(x))))
c(c(b(c(x)))) -> b(a(0(),c(x)))
- Signature:
{a/2,c/1} / {0/0,b/1}
- Obligation:
runtime complexity wrt. defined symbols {a,c} and constructors {0,b}
+ 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
a_0(2,2) -> 1
b_0(2) -> 2
b_2(4) -> 1
b_2(6) -> 5
c_0(2) -> 1
c_1(2) -> 3
c_1(3) -> 1
c_2(2) -> 6
c_2(5) -> 4
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
+ Considered Problem:
- Weak TRS:
a(0(),x) -> c(c(x))
c(c(x)) -> b(c(b(c(x))))
c(c(b(c(x)))) -> b(a(0(),c(x)))
- Signature:
{a/2,c/1} / {0/0,b/1}
- Obligation:
runtime complexity wrt. defined symbols {a,c} and constructors {0,b}
+ Applied Processor:
EmptyProcessor
+ Details:
The problem is already closed. The intended complexity is O(1).
WORST_CASE(?,O(n^1))