#2085 ⟨a, b | abbbaaab=aa⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ b³a³b = a² and a ⋅ a = a², however b³a³b ≠ a
Enveloping group: ⟨a, b | aaabab^-1b^-1b^-1⟩

Format:	Pretty Plain
Word to reduce:
	Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Reduction strategy:	Leftmost Rightmost
Path to normal form:	1 1

Auxiliary generators:
1. c = bbb
Reduction order:
- Left-to-right recursive path with deg(c) = deg(a) = 0, c < a; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:abbbaaab=aa ca/b bbb=c morph:3/3
acaacaacaaac=aa
aaaacaacaaac=acaacaacaaaa
cb=bc
aab=acaacaaac
bbb=c

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