#993 ⟨a, b | abbaaab=aa⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ b²a³b = a² and a ⋅ a = a², however b²a³b ≠ a
Enveloping group: ⟨a, b | aaabba^-1b⟩

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 = abb
Reduction order:
- Right-to-left 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:abbaaab=aa reversed:c/ab abb=c morph:3/2
cacaac=aa
aab=caac
caacb=ac
abb=c
aaacaac=cacaaaa
aaaacb=cacaaac

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