#408 ⟨a, b | abbaaab=b⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 8
- Infinite non-cancellative non-commutative monoid
- Not right cancellative, because right multiplication by b is not injective:
-
ab2a3 ⋅ b = b and 1 ⋅ b = b, however ab2a3 ≠ 1
- Enveloping group: ⟨a, b | aaaabb⟩
- Reduction order:
- Left-to-right shortlex with b < a
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:abbaaab=b ba
abbb=bbab
abbab=bbaab
abbaab=bbaaab
abbaaab=b
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 1778 | ⟨a, b | ababaaaab=b⟩ | φ(a) = a, φ(b) = bbaaab |