#2485 ⟨a, b | aabaab=abba⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ aba²b = ab²a and a ⋅ b²a = ab²a, however aba²b ≠ b²a
Enveloping group: ⟨a, b | aabab^-1a^-1bb⟩

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

# ab:aabaab=abba a/bc abba=c magic:0
abba=c
aabaab=c
cba=aabac
caab=aabc
cbba=abbc
cabaab=abbc

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