#455 ⟨a, b | aabbaa=ab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ab²a² = ab and a ⋅ b = ab, however ab²a² ≠ b
Enveloping group: ⟨a, b | aabab^-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 = ab
Reduction order:
- Left-to-right recursive path with deg(c) = 0; deg(a) = deg(b) = 1, a < b
Certificate: derivations of all rewriting rules from the defining relations.

# ab:aabbaa=ab c/ab ab=c magic:0
ab=c
cbb=ccbac
acbac=cb
ccbaa=cb
ccbacac=acbcb
cbcbac=ccbacb
acbaa=c
ccbacaa=acbc
cbcbaa=ccbac

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