#2168 ⟨a, b | aaababa=aab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ a²(ba)² = a²b and a ⋅ ab = a²b, however a²(ba)² ≠ ab
Enveloping group: ⟨a, b | aaabb⟩

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 = aabab
Reduction order:
- Right-to-left 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:aaababa=aab reversed:ac/b aabab=c morph:5/0
acc=cca
acaca=c
cb=ccacaa
aab=aca
cab=cca

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