#2094 ⟨a, b | aba=a, abba=a⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 9
- Infinite non-commutative monoid
- Reduction order:
- Left-to-right shortlex with a < b
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aba=a,abba=a ab
aba=a
abba=a
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
4 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 12518 | ⟨a, b | abab=ab, abba=a⟩ | φ(a) = a, φ(b) = b |
| 11 | 19126 | ⟨a, b | aba=a, ababba=a⟩ | φ(a) = a, φ(b) = b |
| 11 | 19674 | ⟨a, b | aba=a, abbab=ab⟩ | φ(a) = a, φ(b) = b |
| 11 | 20216 | ⟨a, b | aba=a, abba=aba⟩ | φ(a) = a, φ(b) = b |