#2078 ⟨a, b | abbabaab=aa⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ b²aba²b = a² and a ⋅ a = a², however b²aba²b ≠ a
Enveloping group: ⟨a, b | aababbab^-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 = baba
Reduction order:
- Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:abbabaab=aa ac/b baba=c morph:4/2
cba=bac
aaaba=abcac
caaba=cbcac
aacab=abcaa
cacab=cbcaa
baba=c
abcab=aa
cbcab=ca

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