#2006 ⟨a, b | aabbbaba=ba⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by a is not injective:
- a²b³ab ⋅ a = ba and b ⋅ a = ba, however a²b³ab ≠ b
Enveloping group: ⟨a, b | aaabbb⟩

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 = bba
Reduction order:
- Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:aabbbaba=ba ac/b bba=c morph:3/1
aabcc=c
bba=c
bbc=cabcc
aabcba=ba
aabcbc=bc
cabcba=bc
cabcbc=bcabcc

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