#590 ⟨a, b | aab=a, bba=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,bba=a ab
ab=aa
aaa=a
bba=a
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
9 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 6368 | ⟨a, b | aab=a, bbaab=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6370 | ⟨a, b | aab=a, bbaba=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6395 | ⟨a, b | aab=b, aabba=b⟩ | φ(a) = b, φ(b) = a |
| 10 | 6419 | ⟨a, b | aab=b, baaba=b⟩ | φ(a) = b, φ(b) = a |
| 10 | 6646 | ⟨a, b | aab=a, bbaa=aa⟩ | φ(a) = a, φ(b) = b |
| 10 | 6651 | ⟨a, b | aab=a, bbab=ab⟩ | φ(a) = a, φ(b) = b |
| 10 | 6687 | ⟨a, b | aab=b, abba=ab⟩ | φ(a) = b, φ(b) = a |
| 10 | 6814 | ⟨a, b | aab=a, bba=aab⟩ | φ(a) = a, φ(b) = b |
| 10 | 6823 | ⟨a, b | aab=b, bba=aab⟩ | φ(a) = b, φ(b) = a |