#2294 ⟨a, b | abaaaab=abb⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba⁴b = ab² and a ⋅ b² = ab², however ba⁴b ≠ b²
Not right cancellative, because right multiplication by b is not injective:
- aba⁴ ⋅ b = ab² and ab ⋅ b = ab², however aba⁴ ≠ ab
Enveloping group is isomorphic to ℤ₄ ∗ 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 = abb
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:abaaaab=abb ac/b abb=c magic:0
cb=abaaac
caaaab=abaaac
abb=c
abaaaab=c

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