#1023 ⟨
a
,
b
|
ab
=
a
,
bbb
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#1022
⟨
a
,
b
|
ab
=
a
,
bbb
=
ba
⟩
Next:
#1042
⟨
a
,
b
|
aa
=1,
ababab
=1⟩
Properties
Presentation has sum-of-sides 8
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
b
3
⇒
b
2
# ab:ab=a,bbb=bb ab ab=a bbb=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
