#13183 ⟨
a
,
b
|
abb
=
aaa
,
bab
=
ab
⟩
Up:
Monoids with two generators and two relations
Prev:
#13182
⟨
a
,
b
|
abb
=
aaa
,
bab
=
aa
⟩
Next:
#13184
⟨
a
,
b
|
abb
=
aaa
,
bab
=
ba
⟩
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
b
2
⇒
a
3
bab
⇒
ab
b
a
3
⇒
a
3
b
a
2
b
⇒
a
2
b
a
4
b
⇒
a
2
b
a
6
⇒
a
4
# ab:abb=aaa,bab=ab ab abb=aaa bab=ab baaa=aaa baab=aab aaaab=aab aaaaaa=aaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
