#2317 ⟨a, b | abaabba=baa⟩

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:
- Right-to-left recursive path with deg(a) = deg(d) = 0, a < d; deg(c) = 1; deg(b) = 2
Auxiliary generator: bb=c
Auxiliary generator: baac=d

ada²d²a ⇒ da²
ada²d³ ⇒ dad
adac ⇒ d
cd ⇒ ad³ac
ca² ⇒ ad²a
cad ⇒ ad³
bd ⇒ ad²ac
ba² ⇒ ada
bad ⇒ ad²
bc ⇒ cb
b² ⇒ c

# ab:abaabba=baa reversed:ad/c/b bb=c,baac=d frequency:2/3,4/1
adaadda=daa
adaaddd=dad
adac=d
cd=adddac
caa=adda
cad=addd
bd=addac
baa=ada
bad=add
bc=cb
bb=c

Up:	Monoids with two generators and one relation
Prev:	#2316 ⟨a, b \| abaabba=abb⟩
Next:	#2318 ⟨a, b \| abaabba=bab⟩

#2317 ⟨a, b | abaabba=baa⟩

Properties

Complete rewriting system

Right Cayley graph (truncated)

Left Cayley graph (truncated)