#5662 ⟨a, b | aabaab=baaab⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by b is not injective:
- a²ba² ⋅ b = ba³b and ba³ ⋅ b = ba³b, however a²ba² ≠ ba³
Enveloping group: ⟨a, b | aaba^-1b^-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 = baaab
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:aabaab=baaab a/cb baaab=c magic:0
bac=caab
baaac=caaab
aabc=caab
aabaac=caaab
baaab=c
aabaab=c

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