#996 ⟨a, b | abbaaab=bb⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by b is not injective:
- ab²a³ ⋅ b = b² and b ⋅ b = b², however ab²a³ ≠ b
Enveloping group: ⟨a, b | aaabab^-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 = aaab
Reduction order:
- Left-to-right 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:abbaaab=bb bc/a aaab=c morph:4/1
cbccc=bb
cbccbb=bbbccc
abb=cbcc
acbc=cb
acbbb=cbbccc
aaab=c

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