#565 ⟨a, b | aaa=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:aaa=a,aba=a ab
aaa=a
aba=a
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
7 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 6242 | ⟨a, b | aaa=a, aaaba=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6246 | ⟨a, b | aaa=a, aabaa=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6450 | ⟨a, b | aba=a, aaaba=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6454 | ⟨a, b | aba=a, aabaa=a⟩ | φ(a) = a, φ(b) = b |
| 10 | 6533 | ⟨a, b | aaa=a, aaba=aa⟩ | φ(a) = a, φ(b) = b |
| 10 | 6730 | ⟨a, b | aba=a, aaab=ab⟩ | φ(a) = a, φ(b) = b |
| 10 | 6799 | ⟨a, b | aaa=a, aba=aaa⟩ | φ(a) = a, φ(b) = b |