#2122 ⟨a, b | aaaabaa=aab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ a³ba² = a²b and a ⋅ ab = a²b, however a³ba² ≠ ab
Enveloping group: ⟨a, b | aabaab^-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 = aab
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:aaaabaa=aab ac/b aab=c magic:0
ccaa=aacc
aacaa=c
cacaa=aacac
cb=aacc
aab=c
cab=aacac

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