#15770 ⟨
a
,
b
|
aab
=
bb
,
baaaa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#15768
⟨
a
,
b
|
aab
=
bb
,
abbbb
=
b
⟩
Next:
#15778
⟨
a
,
b
|
aab
=
bb
,
babaa
=
b
⟩
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
a
2
b
⇒
b
2
b
4
⇒
b
2
b
a
4
⇒
b
ba
b
3
⇒
bab
# ab:aab=bb,baaaa=b ab aab=bb bbbb=bb baaaa=b babbb=bab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
