#542 ⟨a, b | abaab=bab⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by b is not injective:
- aba² ⋅ b = bab and ba ⋅ b = bab, however aba² ≠ ba
Enveloping group: ⟨a, b | aabb⟩

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 = bab
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:abaab=bab a/cb bab=c magic:0
acc=cac
acac=caac
acab=caab
bc=caab
bac=cab
abaac=cab
bab=c
abaab=c

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