#582 ⟨a, b | aab=a, aba=a⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 8
- Infinite non-commutative monoid
- Reduction order:
- Left-to-right shortlex with a < b
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aab=a,aba=a ab
aab=a
aba=a
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
6 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 6330 | ⟨a, b | aab=a, aabba=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6336 | ⟨a, b | aab=a, abaab=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6456 | ⟨a, b | aba=a, aabab=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6462 | ⟨a, b | aba=a, abaab=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6614 | ⟨a, b | aab=a, abaa=aa⟩ | φ(a) = a, φ(b) = b |
| 10 | 6808 | ⟨a, b | aab=a, aba=aab⟩ | φ(a) = a, φ(b) = b |