#3389 ⟨a, b, c | ac=ab, bab=a⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 8
- Infinite non-cancellative non-commutative monoid
- Element a has infinite order
- Not left cancellative, because left multiplication by a is not injective:
-
a ⋅ c = ab and a ⋅ b = ab, however c ≠ b
- Reduction order:
- Left-to-right shortlex with b < a < c
- Certificate: derivations of all rewriting rules from the defining relations.
# abc:ac=ab,bab=a bac - -
ac=ab
bab=a
aab=baa
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 8 | 3392 | ⟨a, b, c | ac=ab, bac=a⟩ | φ(a) = a, φ(b) = b, φ(c) = c |