LMPO
Execution Time (secs) | 0.038 |
Answer | YES(?,ELEMENTARY) |
Input | SK90 4.25 |
YES(?,ELEMENTARY)
We consider the following Problem:
Strict Trs:
{ rev(a()) -> a()
, rev(b()) -> b()
, rev(++(x, y)) -> ++(rev(y), rev(x))
, rev(++(x, x)) -> rev(x)}
StartTerms: basic terms
Strategy: innermost
Certificate: YES(?,ELEMENTARY)
Proof:
The input was oriented with the instance of
Lightweight Multiset Path Order () as induced by the safe mapping
safe(rev) = {}, safe(a) = {}, safe(b) = {}, safe(++) = {1, 2}
and precedence
empty .
Following symbols are considered recursive:
{rev}
The recursion depth is 1 .
For your convenience, here are the oriented rules in predicative
notation (possibly applying argument filtering):
Strict DPs: {}
Weak DPs : {}
Strict Trs:
{ rev(a();) -> a()
, rev(b();) -> b()
, rev(++(; x, y);) -> ++(; rev(y;), rev(x;))
, rev(++(; x, x);) -> rev(x;)}
Weak Trs : {}
Hurray, we answered YES(?,ELEMENTARY)
MPO
Execution Time (secs) | 0.058 |
Answer | YES(?,PRIMREC) |
Input | SK90 4.25 |
YES(?,PRIMREC)
We consider the following Problem:
Strict Trs:
{ rev(a()) -> a()
, rev(b()) -> b()
, rev(++(x, y)) -> ++(rev(y), rev(x))
, rev(++(x, x)) -> rev(x)}
StartTerms: basic terms
Strategy: innermost
Certificate: YES(?,PRIMREC)
Proof:
The input was oriented with the instance of
'multiset path orders' as induced by the precedence
rev > ++ .
Hurray, we answered YES(?,PRIMREC)
POP*
Execution Time (secs) | 0.024 |
Answer | MAYBE |
Input | SK90 4.25 |
MAYBE
We consider the following Problem:
Strict Trs:
{ rev(a()) -> a()
, rev(b()) -> b()
, rev(++(x, y)) -> ++(rev(y), rev(x))
, rev(++(x, x)) -> rev(x)}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
POP* (PS)
Execution Time (secs) | 0.036 |
Answer | MAYBE |
Input | SK90 4.25 |
MAYBE
We consider the following Problem:
Strict Trs:
{ rev(a()) -> a()
, rev(b()) -> b()
, rev(++(x, y)) -> ++(rev(y), rev(x))
, rev(++(x, x)) -> rev(x)}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Small POP*
Execution Time (secs) | 0.027 |
Answer | MAYBE |
Input | SK90 4.25 |
MAYBE
We consider the following Problem:
Strict Trs:
{ rev(a()) -> a()
, rev(b()) -> b()
, rev(++(x, y)) -> ++(rev(y), rev(x))
, rev(++(x, x)) -> rev(x)}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Small POP* (PS)
Execution Time (secs) | 0.036 |
Answer | MAYBE |
Input | SK90 4.25 |
MAYBE
We consider the following Problem:
Strict Trs:
{ rev(a()) -> a()
, rev(b()) -> b()
, rev(++(x, y)) -> ++(rev(y), rev(x))
, rev(++(x, x)) -> rev(x)}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..