#16559 ⟨
a
,
b
|
bab
=
bb
,
bbb
=
bab
⟩
Up:
Monoids with two generators and two relations
Prev:
#16556
⟨
a
,
b
|
abb
=
bb
,
bbb
=
abb
⟩
Next:
#16578
⟨
a
,
b
|
aaaa
=1,
aabaabb
=1⟩
Properties
Presentation has sum-of-sides 11
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
bab
⇒
b
2
b
3
⇒
b
2
# ab:bab=bb,bbb=bab ab bab=bb bbb=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
