#2422 ⟨a, b | aaabaa=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 ⋅ a²ba² = a³b and a ⋅ a²b = a³b, 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 = 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:aaabaa=aaab ac/b aaab=c magic:0
caa=c
cb=cac
cab=cc
aaab=c

Up:	Monoids with two generators and one relation
Prev:	#2421 ⟨a, b \| aaabaa=aaaa⟩
Next:	#2423 ⟨a, b \| aaabaa=aaba⟩