#1808 ⟨a, b | abbabaaab=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: bbc=d

adc ⇒ dac
adac ⇒ da²c
cd ⇒ dc²a²c²
a²da²c ⇒ c
cada²c² ⇒ ad
b ⇒ ada²c
ad² ⇒ dad
(ad)² ⇒ da²d
ada²d ⇒ da³d
ada³d ⇒ d
cada²cad ⇒ dc²

# ab:abbabaaab=b ac/db ab=c,bbc=d frequency:2/0,3/0
adc=dac
adac=daac
cd=dccaacc
aadaac=c
cadaacc=ad
b=adaac
add=dad
adad=daad
adaad=daaad
adaaad=d
cadaacad=dcc

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#1808 ⟨a, b | abbabaaab=b⟩

Properties

Complete rewriting system

Right Cayley graph (truncated)

Left Cayley graph (truncated)