#13202 ⟨a, b | abb=aab, bbb=aa⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 11
- Infinite non-cancellative non-commutative monoid
- Element ba has infinite order
- Not left cancellative, because left multiplication by b is not injective:
-
b ⋅ b2a = b5 and b ⋅ b4 = b5, however b2a ≠ b4
- Not right cancellative, because right multiplication by b is not injective:
-
ab ⋅ b = b4 and b3 ⋅ b = b4, however ab ≠ b3
- Reduction order:
- Left-to-right recursive path with deg(b) = 0; deg(a) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:abb=aab,bbb=aa b/a - -
bbbbbb=bbbbb
abb=bbbb
bbba=bbbbb
aa=bbb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 13240 | ⟨a, b | baa=abb, bbb=aa⟩ | φ(a) = a, φ(b) = b |