#3991 ⟨
a
,
b
|
baba
=
ba
,
bbaa
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#3983
⟨
a
,
b
|
baab
=
aa
,
bbbb
=1⟩
Next:
#4011
⟨
a
,
b
|
aab
=
aaa
,
bbbb
=1⟩
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
(
ba
)
2
⇒
ba
b
2
a
2
⇒ 1
# ab:baba=ba,bbaa=1 ab baba=ba bbaa=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
