#401 ⟨a, b | ababaab=a⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ baba²b = a and a ⋅ 1 = a, however baba²b ≠ 1
Enveloping group: ⟨a, b | aabab^-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 = ab
Reduction order:
- Right-to-left 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:ababaab=a reversed:bc/a ab=c morph:2/0
ab=c
ccac=a
aac=ccccaa
acac=ccaa

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