#1037 ⟨a, b | aaabaa=baa⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by a is not injective:
- a³ba ⋅ a = ba² and ba ⋅ a = ba², however a³ba ≠ ba
Enveloping group is isomorphic to ℤ₃ ∗ ℤ

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 = baa
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.

# ab:aaabaa=baa ac/b baa=c magic:0
aaac=c
bc=cac
baa=c
bac=caac

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