#2286 ⟨a, b | aabbbba=abb⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ab⁴a = ab² and a ⋅ b² = ab², however ab⁴a ≠ b²
Enveloping group: ⟨a, b | aaaaaabb⟩

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 = abbb
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:aabbbba=abb reversed:c/ab abbb=c morph:4/1
cbb=acbc
abb=acba
acbcb=cbcba
acbab=c
cbcbab=acbacbc
acbacba=cb
aacbacbc=cbcbaab

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