#6776 ⟨a, b | aba=b, aabb=bb⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 10
- Infinite non-cancellative non-commutative monoid
- Element a has infinite order
- Not right cancellative, because right multiplication by b is not injective:
-
a2b ⋅ b = b2 and b ⋅ b = b2, however a2b ≠ b
- Reduction order:
- Left-to-right shortlex with a < b
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aba=b,aabb=bb ab - -
aba=b
bba=abb
aabb=bb
babb=abbb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 6783 | ⟨a, b | aba=b, abba=bb⟩ | φ(a) = a, φ(b) = b |