#2559 ⟨a, b | aabbba=bbaa⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by a is not injective:
- a²b³ ⋅ a = b²a² and b²a ⋅ a = b²a², however a²b³ ≠ b²a
Enveloping group: ⟨a, b | aaabba^-1a^-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 = bbba
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:aabbba=bbaa ac/b bbba=c morph:4/3
bca=aacc
baac=ca
bbaa=aac
bbba=c

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