#11609 ⟨
a
,
b
|
babaa
=
b
,
bbaaa
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#11608
⟨
a
,
b
|
babaa
=
a
,
bbaaa
=1⟩
Next:
#11639
⟨
a
,
b
|
aaaa
=
aa
,
bbbbb
=1⟩
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
a
2
⇒
b
b
2
a
3
⇒ 1
# ab:babaa=b,bbaaa=1 ab babaa=b bbaaa=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
