#6705 ⟨
a
,
b
|
aab
=
b
,
baba
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#6704
⟨
a
,
b
|
aab
=
b
,
baba
=
ba
⟩
Next:
#6708
⟨
a
,
b
|
aab
=
b
,
babb
=
ba
⟩
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
b
<
a
a
2
b
⇒
b
b
2
ab
⇒
b
3
a
ba
b
2
⇒
b
3
a
(
ba
)
2
⇒
b
2
b
3
a
2
⇒
b
3
# ab:aab=b,baba=bb ba aab=b bbab=bbba babb=bbba baba=bb bbbaa=bbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
