#5915 ⟨a, b | abbaab=aabba⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ b²a²b = a²b²a and a ⋅ ab²a = a²b²a, however b²a²b ≠ ab²a
Enveloping group: ⟨a, b | aabbab^-1a^-1a^-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 = aabba
Reduction order:
- Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1
Certificate: derivations of all rewriting rules from the defining relations.

# ab:abbaab=aabba bc/a aabba=c magic:0
cab=ac
cba=abbc
cbbaab=aabbc
aabba=c
abbaab=c

Up:	Monoids with two generators and one relation
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