#2246 ⟨a, b | aababba=aab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ abab²a = a²b and a ⋅ ab = a²b, however abab²a ≠ ab
Enveloping group: ⟨a, b | aabb⟩

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

# ab:aababba=aab reversed:c/ba aaba=c morph:4/2
cba=cbbc
cbba=aab
caba=aabc
aaba=c

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