#2310 ⟨a, b | abaabab=bab⟩

Quick links

Presentation has sum-of-sides 10
Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by b is not injective:
- (aba)² ⋅ b = bab and ba ⋅ b = bab, however (aba)² ≠ ba
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 = bab
Reduction order:
- Left-to-right recursive path with deg(a) = 0; deg(c) = deg(b) = 1, c < b
Certificate: derivations of all rewriting rules from the defining relations.

# ab:abaabab=bab a/cb bab=c magic:0
bc=caac
bac=cab
abaac=c
bab=c

Up:	Monoids with two generators and one relation
Prev:	#2309 ⟨a, b \| abaabab=baa⟩
Next:	#2311 ⟨a, b \| abaabab=bba⟩