#2049 ⟨a, b | ababaaab=aa⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ baba³b = a² and a ⋅ a = a², however baba³b ≠ a
Enveloping group: ⟨a, b | aabbab^-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:
- Right-to-left 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:ababaaab=aa reversed:bc/a ab=c morph:2/1
ab=c
ccaac=aa
aaaac=ccccaaaa
aacaac=ccaaaa

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