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