#1052 ⟨a, b | aaabba=abb⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ a²b²a = ab² and a ⋅ b² = ab², however a²b²a ≠ b²
Enveloping group: ⟨a, b | aabbab^-1b^-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 = abb
Reduction order:
- Left-to-right recursive path with deg(c) = deg(a) = 0, c < a; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.

# ab:aaabba=abb ca/b abb=c magic:0
aacc=caca
aaca=c
cbb=caca
abb=c

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