#7112 ⟨
a
,
b
|
ab
=
aa
,
bbba
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#7110
⟨
a
,
b
|
ab
=
aa
,
bbba
=
aa
⟩
Next:
#7114
⟨
a
,
b
|
ab
=
aa
,
bbbb
=
aa
⟩
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 shortlex with
a
<
b
ab
⇒
a
2
b
3
a
⇒
ba
a
5
⇒
a
3
# ab:ab=aa,bbba=ba ab ab=aa bbba=ba aaaaa=aaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
