#430 ⟨a, b | aaabaa=ba⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by a is not injective:
- a³ba ⋅ a = ba and b ⋅ a = ba, however a³ba ≠ b
Enveloping group: ⟨a, b | aaabab^-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 = ba
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:aaabaa=ba ca/b ba=c magic:0
aaacc=caaca
aaaca=c
bc=caaca
ba=c

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