interpretations
Execution Time (secs) | - |
Answer | YES(?,O(n^1)) |
Input | AG01 3.15 |
YES(?,O(n^1))
We are left with following problem, upon which TcT provides the
certificate YES(?,O(n^1)).
Strict Trs:
{ average(x, s(s(s(y)))) -> s(average(s(x), y))
, average(s(x), y) -> average(x, s(y))
, average(0(), s(s(0()))) -> s(0())
, average(0(), s(0())) -> 0()
, average(0(), 0()) -> 0() }
Obligation:
innermost runtime complexity
Answer:
YES(?,O(n^1))
The following argument positions are usable:
Uargs(average) = {}, Uargs(s) = {1}
TcT has computed following constructor-based matrix interpretation
satisfying not(EDA).
[average](x1, x2) = [3] x1 + [2] x2 + [0]
[s](x1) = [1] x1 + [2]
[0] = [1]
This order satisfies following ordering constraints
[average(x, s(s(s(y))))] = [3] x + [2] y + [12]
> [3] x + [2] y + [8]
= [s(average(s(x), y))]
[average(s(x), y)] = [3] x + [2] y + [6]
> [3] x + [2] y + [4]
= [average(x, s(y))]
[average(0(), s(s(0())))] = [13]
> [3]
= [s(0())]
[average(0(), s(0()))] = [9]
> [1]
= [0()]
[average(0(), 0())] = [5]
> [1]
= [0()]
Hurray, we answered YES(?,O(n^1))
lmpo
Execution Time (secs) | - |
Answer | MAYBE |
Input | AG01 3.15 |
MAYBE
We are left with following problem, upon which TcT provides the
certificate MAYBE.
Strict Trs:
{ average(s(x), y) -> average(x, s(y))
, average(x, s(s(s(y)))) -> s(average(s(x), y))
, average(0(), 0()) -> 0()
, average(0(), s(0())) -> 0()
, average(0(), s(s(0()))) -> s(0()) }
Obligation:
innermost runtime complexity
Answer:
MAYBE
The input cannot be shown compatible
Arrrr..
mpo
Execution Time (secs) | - |
Answer | MAYBE |
Input | AG01 3.15 |
MAYBE
We are left with following problem, upon which TcT provides the
certificate MAYBE.
Strict Trs:
{ average(s(x), y) -> average(x, s(y))
, average(x, s(s(s(y)))) -> s(average(s(x), y))
, average(0(), 0()) -> 0()
, average(0(), s(0())) -> 0()
, average(0(), s(s(0()))) -> s(0()) }
Obligation:
innermost runtime complexity
Answer:
MAYBE
The input cannot be shown compatible
Arrrr..
popstar
Execution Time (secs) | 0.112 |
Answer | MAYBE |
Input | AG01 3.15 |
MAYBE
We are left with following problem, upon which TcT provides the
certificate MAYBE.
Strict Trs:
{ average(s(x), y) -> average(x, s(y))
, average(x, s(s(s(y)))) -> s(average(s(x), y))
, average(0(), 0()) -> 0()
, average(0(), s(0())) -> 0()
, average(0(), s(s(0()))) -> s(0()) }
Obligation:
innermost runtime complexity
Answer:
MAYBE
The input cannot be shown compatible
Arrrr..
popstar-ps
Execution Time (secs) | 0.121 |
Answer | MAYBE |
Input | AG01 3.15 |
MAYBE
We are left with following problem, upon which TcT provides the
certificate MAYBE.
Strict Trs:
{ average(s(x), y) -> average(x, s(y))
, average(x, s(s(s(y)))) -> s(average(s(x), y))
, average(0(), 0()) -> 0()
, average(0(), s(0())) -> 0()
, average(0(), s(s(0()))) -> s(0()) }
Obligation:
innermost runtime complexity
Answer:
MAYBE
The input cannot be shown compatible
Arrrr..