#2619 ⟨a, b | abbaab=abaa⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ b²a²b = aba² and a ⋅ ba² = aba², however b²a²b ≠ ba²
Enveloping group: ⟨a, b | aaaabb⟩

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 = abaa
Reduction order:
- Right-to-left recursive path with deg(b) = 0; deg(c) = deg(a) = 1, c < a
Certificate: derivations of all rewriting rules from the defining relations.

# ab:abbaab=abaa reversed:b/ca abaa=c magic:0
cacb=cbac
cbacb=cbbac
abacb=abbac
caa=abbac
cbaa=abac
cbbaab=abac
abaa=c
abbaab=c

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