#12255 ⟨
a
,
b
|
aaab
=
ab
,
baaa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#12241
⟨
a
,
b
|
aaab
=
aa
,
bbbb
=
b
⟩
Next:
#12257
⟨
a
,
b
|
aaab
=
ab
,
baab
=
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
bab
⇒
b
2
a
3
b
⇒
ab
b
a
3
⇒
b
b
a
2
b
⇒
b
2
# ab:aaab=ab,baaa=b ab bab=bb aaab=ab baaa=b baab=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
