#5895 ⟨a, b | ababba=baaba⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by a is not injective:
- abab² ⋅ a = ba²ba and ba²b ⋅ a = ba²ba, however abab² ≠ ba²b
Enveloping group: ⟨a, b | aabba^-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 = baaba
Reduction order:
- Left-to-right recursive path with deg(b) = 0; deg(c) = deg(a) = 1, c < a
Certificate: derivations of all rewriting rules from the defining relations.

# ab:ababba=baaba b/ca baaba=c magic:0
bac=cbba
ababc=caba
ababbc=cbabba
baac=caba
baabc=cbabba
ababba=c
baaba=c

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