#2591 ⟨a, b | ababab=aaba⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ b(ab)² = a²ba and a ⋅ aba = a²ba, however b(ab)² ≠ aba
Enveloping group: ⟨a, b | aaaabb⟩

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(c) = 0; deg(a) = deg(b) = 1, a < b
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:ababab=aaba c/ab ab=c morph:2/0
cccca=acccc
cccb=acc
aca=ccc
ab=c

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