#1852 ⟨a, b | aaaabaaa=ba⟩

Quick links

Presentation has sum-of-sides 10
Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by a is not injective:
- a⁴ba² ⋅ a = ba and b ⋅ a = ba, however a⁴ba² ≠ b
Enveloping group: ⟨a, b | aaaabaab^-1⟩

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

# ab:aaaabaaa=ba ca/b ba=c magic:0
aaaacc=caacaa
aaaacac=caaacaa
aaaacaa=c
bc=caaacaa
ba=c

Up:	Monoids with two generators and one relation
Prev:	#1851 ⟨a, b \| aaaabaaa=ab⟩
Next:	#1853 ⟨a, b \| aaaabaaa=bb⟩