#14723 ⟨a, b | aabb=a, bbbab=a⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 11
- Infinite non-cancellative non-commutative monoid
- Element b has infinite order
- Not right cancellative, because right multiplication by a is not injective:
-
b12 ⋅ a = a and 1 ⋅ a = a, however b12 ≠ 1
- Reduction order:
- Right-to-left recursive path with deg(b) = 0; deg(a) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aabb=a,bbbab=a reversed:b/a - -
bbbbbbbbbbbba=a
ab=bbbbbbbbba
aa=bbbbbba
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 14787 | ⟨a, b | abab=a, bbbab=a⟩ | φ(a) = a, φ(b) = b |