#25634 ⟨
a
,
b
|
ab
=
a
,
bbbaa
=
bba
⟩
Up:
Monoids with two generators and two relations
Prev:
#25632
⟨
a
,
b
|
ab
=
a
,
bbbaa
=
baa
⟩
Next:
#25635
⟨
a
,
b
|
ab
=
a
,
bbbaa
=
bbb
⟩
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
ab
⇒
a
a
3
⇒
a
2
b
2
a
2
⇒
b
2
a
b
3
a
⇒
b
2
a
# ab:ab=a,bbbaa=bba ab ab=a aaa=aa bbaa=bba bbba=bba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
