#1105 ⟨a, b | abaaab=aba⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba³b = aba and a ⋅ ba = aba, however ba³b ≠ ba
Enveloping group is isomorphic to ℤ

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

# ab:abaaab=aba bc/a abaa=c morph:4/1
cccb=c
ca=cc
cba=ccbccb
ccbba=abccb
aba=ccb

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