#9145 ⟨a, b | aa=a, abab=abb⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 10
- Infinite non-commutative monoid
- Auxiliary generators:
- c = ab
- Reduction order:
- Left-to-right shortlex with a < c < b
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aa=a,abab=abb acb ab=c morph:2/0
aa=a
ac=c
ab=c
cb=cc
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
3 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 25155 | ⟨a, b | aa=a, aabab=abb⟩ | φ(a) = a, φ(b) = b |
| 11 | 25179 | ⟨a, b | aa=a, abaab=abb⟩ | φ(a) = a, φ(b) = b |
| 11 | 25672 | ⟨a, b | aa=a, abab=aabb⟩ | φ(a) = a, φ(b) = b |