#1084 ⟨a, b | aabbaa=abb⟩

Quick links

Presentation has sum-of-sides 9
Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ab²a² = ab² and a ⋅ b² = ab², however ab²a² ≠ b²
Enveloping group: ⟨a, b | aabbab^-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 = abb
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.

# ab:aabbaa=abb ac/b abb=c magic:0
acaa=c
ccaa=acac
abb=c
cbb=acac

Up:	Monoids with two generators and one relation
Prev:	#1083 ⟨a, b \| aabbaa=aba⟩
Next:	#1085 ⟨a, b \| aabbaa=bab⟩