#5649 ⟨a, b | aabaab=aabaa⟩

Quick links

Presentation has sum-of-sides 11
Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ aba²b = a²ba² and a ⋅ aba² = a²ba², however aba²b ≠ aba²
Enveloping group is isomorphic to 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 = aabaa
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:aabaab=aabaa bc/a aabaa=c magic:0
cb=c
caa=aabc
cabaa=aabac
aabaa=c

Up:	Monoids with two generators and one relation
Prev:	#5648 ⟨a, b \| aabaab=aaabb⟩
Next:	#5650 ⟨a, b \| aabaab=aabab⟩