#5920 ⟨a, b | abbaab=abbba⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ b²a²b = ab³a and a ⋅ b³a = ab³a, however b²a²b ≠ b³a
Enveloping group: ⟨a, b | aaba^-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 = abbbab
Reduction order:
- Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:abbaab=abbba ac/b abbbab=c morph:6/3
caab=cba
cbab=abbac
cbaab=cbba
abbaab=abbba
cbbab=abbbc
abbbab=c

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