#2390 ⟨a, b | aaaaba=aaab⟩

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 ⋅ a³ba = a³b and a ⋅ a²b = a³b, however a³ba ≠ a²b
Enveloping group: ⟨a, b | aabb⟩

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 = aaab
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:aaaaba=aaab ac/b aaab=c magic:0
aca=c
cca=acc
cb=aaacc
cab=aacc
aaab=c
caab=acc

Up:	Monoids with two generators and one relation
Prev:	#2389 ⟨a, b \| aaaaba=aaaa⟩
Next:	#2391 ⟨a, b \| aaaaba=aaba⟩