#2024 ⟨a, b | abaaaaba=ab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba⁴ba = ab and a ⋅ b = ab, however ba⁴ba ≠ b
Enveloping group is isomorphic to ℤ

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:abaaaaba=ab ca/b ab=c magic:0
cac=cca
caac=ccaa
caaac=ccaaa
ccaaaa=c
cb=cccaaa
ab=c

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