#789 ⟨a, b | aabaaaab=a⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 9
- Infinite non-cancellative non-commutative monoid
- Not left cancellative, because left multiplication by a is not injective:
-
a ⋅ aba4b = a and a ⋅ 1 = a, however aba4b ≠ 1
- Enveloping group: ⟨a, b | aaabb⟩
- Reduction order:
- Left-to-right shortlex with b < a
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aabaaaab=a ba
aaaaab=aabaaa
aabaaaab=a
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3734 | ⟨a, b | abaababaab=a⟩ | φ(a) = aa, φ(b) = b |