#2218 ⟨a, b | aabaaba=abb⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ (aba)² = ab² and a ⋅ b² = ab², however (aba)² ≠ b²
Enveloping group: ⟨a, b | aaabbabb⟩

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) = 0; deg(b) = deg(c) = 1, b < c
Certificate: derivations of all rewriting rules from the defining relations.

# ab:aabaaba=abb a/bc abb=c magic:0
abb=c
aabaaba=c
caba=aabc
cbb=aabaabc

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