#1108 ⟨a, b | abaaab=bab⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by b is not injective:
- aba³ ⋅ b = bab and ba ⋅ b = bab, however aba³ ≠ ba
Enveloping group: ⟨a, b | aabab^-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 = 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:abaaab=bab a/cb bab=c magic:0
bc=caaab
bac=cab
abaac=caaab
abaaac=cab
bab=c
abaaab=c

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