#5542 ⟨a, b | aaabaa=abaab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ a²ba² = aba²b and a ⋅ ba²b = aba²b, however a²ba² ≠ ba²b
Enveloping group: ⟨a, b | aabaab^-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 = ab
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:aaabaa=abaab ac/b ab=c morph:2/1
aacaa=cac
caccaa=aaccac
cacacaa=aacacac
ab=c
cacb=aacac

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