#1804 ⟨a, b | abbaabaab=b⟩

Properties

Presentation has sum-of-sides 10
Infinite non-commutative monoid

Complete rewriting system

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

Reduction order:
- Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(d) = deg(b) = 1, d < b
Auxiliary generator: ab=c
Auxiliary generator: bbac=d

adc ⇒ dac
cd ⇒ d(cac)²
a²dac ⇒ c
cadac² ⇒ dc(ac)²
cad(ac)² ⇒ ad
b ⇒ adac
ad² ⇒ dad
(ad)² ⇒ da²d
ada²d ⇒ d
cadacad ⇒ dcaca²d
cadaca²d ⇒ dcac

# ab:abbaabaab=b ac/db ab=c,bbac=d frequency:2/0,4/3
adc=dac
cd=dcaccac
aadac=c
cadacc=dcacac
cadacac=ad
b=adac
add=dad
adad=daad
adaad=d
cadacad=dcacaad
cadacaad=dcac

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#1804 ⟨a, b | abbaabaab=b⟩

Properties

Complete rewriting system

Right Cayley graph (truncated)

Left Cayley graph (truncated)