LMPO
Execution Time (secs) | 0.039 |
Answer | YES(?,ELEMENTARY) |
Input | Der95 18 |
YES(?,ELEMENTARY)
We consider the following Problem:
Strict Trs: {*(x, +(y, z)) -> +(*(x, y), *(x, z))}
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(*) = {}, safe(+) = {1, 2}
and precedence
empty .
Following symbols are considered recursive:
{*}
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: {*(x, +(; y, z);) -> +(; *(x, y;), *(x, z;))}
Weak Trs : {}
Hurray, we answered YES(?,ELEMENTARY)
MPO
Execution Time (secs) | 0.042 |
Answer | YES(?,PRIMREC) |
Input | Der95 18 |
YES(?,PRIMREC)
We consider the following Problem:
Strict Trs: {*(x, +(y, z)) -> +(*(x, y), *(x, z))}
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
* > + .
Hurray, we answered YES(?,PRIMREC)
POP*
Execution Time (secs) | 0.038 |
Answer | MAYBE |
Input | Der95 18 |
MAYBE
We consider the following Problem:
Strict Trs: {*(x, +(y, z)) -> +(*(x, y), *(x, z))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
POP* (PS)
Execution Time (secs) | 0.038 |
Answer | MAYBE |
Input | Der95 18 |
MAYBE
We consider the following Problem:
Strict Trs: {*(x, +(y, z)) -> +(*(x, y), *(x, z))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Small POP*
Execution Time (secs) | 0.023 |
Answer | MAYBE |
Input | Der95 18 |
MAYBE
We consider the following Problem:
Strict Trs: {*(x, +(y, z)) -> +(*(x, y), *(x, z))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Small POP* (PS)
Execution Time (secs) | 0.030 |
Answer | MAYBE |
Input | Der95 18 |
MAYBE
We consider the following Problem:
Strict Trs: {*(x, +(y, z)) -> +(*(x, y), *(x, z))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..