#2314 ⟨a, b | abaabba=aab⟩

Quick links

Presentation has sum-of-sides 10
Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba²b²a = a²b and a ⋅ ab = a²b, however ba²b²a ≠ ab
Enveloping group: ⟨a, b | aabbab^-1a^-1b⟩

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

# ab:abaabba=aab bc/a aab=c magic:0
cab=abcbc
ccba=ac
cbcba=abcbc
aab=c
abcba=c

Up:	Monoids with two generators and one relation
Prev:	#2313 ⟨a, b \| abaabba=aaa⟩
Next:	#2315 ⟨a, b \| abaabba=aba⟩