#2236 ⟨
a
,
b
|
aababaa
=
bbb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2235
⟨
a
,
b
|
aababaa
=
bab
⟩
Next:
#2237
⟨
a
,
b
|
aababab
=
aaa
⟩
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
a
<
b
a
(
ab
)
2
a
2
⇒
b
3
b
4
ab
a
2
⇒
a
2
ba
b
4
b
2
(
ba
)
3
a
⇒
a
(
ab
)
3
b
2
# ab:aababaa=bbb ab aababaa=bbb bbbbabaa=aababbbb bbbababaa=aabababbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
