#14827 ⟨a, b | abba=a, babbb=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 left cancellative, because left multiplication by a is not injective:
-
a ⋅ b12 = a and a ⋅ 1 = a, however b12 ≠ 1
- 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:abba=a,babbb=a b/a - -
abbbbbbbbbbbb=a
ba=abbbbbbbbb
aa=abbbbbb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 15754 | ⟨a, b | aab=bb, abaaa=b⟩ | φ(a) = b, φ(b) = a |