#2257 ⟨a, b | aabbaab=baa⟩
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- Properties
- Rewriting system
- Presentation has sum-of-sides 10
- Infinite cancellative non-commutative monoid
- Submonoid of enveloping group: ⟨a, b | aabbaaba-1a-1b-1⟩
- Embedding: φ(a) = a, φ(b) = b
- Auxiliary generators:
- c = aa
- d = bbc
- Reduction order:
- Left-to-right recursive path with deg(b) = 0; deg(d) = 1; deg(c) = 2; deg(a) = 3
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aabbaab=baa b/d/c/a aa=c,bbc=d morph:2/0,3/0
ddb=bd
cdbdb=d
bc=cdb
dc=cdddd
da=bbac
ca=ac
cdba=bac
aa=c