#2332 ⟨a, b | abababa=abb⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ (ba)³ = ab² and a ⋅ b² = ab², however (ba)³ ≠ b²
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 = abb
Reduction order:
- Left-to-right recursive path with deg(a) = 0; deg(c) = deg(b) = 1, c < b
Certificate: derivations of all rewriting rules from the defining relations.

# ab:abababa=abb a/cb abb=c magic:0
abc=cba
abb=c
abababa=c
cbbba=cbc
cbababa=cbb
cbbbc=cbcbb
cbbbb=cbcbaba

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