#2482 ⟨a, b | aabaab=aabb⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ aba²b = a²b² and a ⋅ ab² = a²b², however aba²b ≠ ab²
Not right cancellative, because right multiplication by b is not injective:
- a²ba² ⋅ b = a²b² and a²b ⋅ b = a²b², however a²ba² ≠ a²b
Enveloping group is isomorphic to ℤ₂ ∗ ℤ

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 = aabb
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=aabb a/bc aabb=c magic:0
aabb=c
aabaab=c
cb=aabc
caab=aabc

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