#13261 ⟨
a
,
b
|
bab
=
aba
,
bbb
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#13259
⟨
a
,
b
|
bab
=
aba
,
bbb
=
aa
⟩
Next:
#13262
⟨
a
,
b
|
bab
=
abb
,
bbb
=
aa
⟩
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
b
<
a
b
3
⇒
b
2
aba
⇒
bab
a
b
2
ab
⇒
ba
b
2
a
ba
b
2
a
2
⇒
ba
b
2
a
# ab:bab=aba,bbb=bb ba bbb=bb aba=bab abbab=babba babbaa=babba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
