#1827 ⟨a, b | aaaaaaba=ab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ a⁵ba = ab and a ⋅ b = ab, however a⁵ba ≠ b
Enveloping group: ⟨a, b | aaaaabab^-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 = ab
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:aaaaaaba=ab ca/b ab=c magic:0
aaaaacc=caaaaca
aaaaaca=c
cb=caaaaca
ab=c

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