#2741 ⟨
a
,
b
|
baaab
=
aaaaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2740
⟨
a
,
b
|
baaaa
=
abbbb
⟩
Next:
#2742
⟨
a
,
b
|
baaab
=
aaaba
⟩
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
b
a
3
b
⇒
a
5
b
a
8
⇒
a
8
b
# ab:baaab=aaaaa ab baaab=aaaaa baaaaaaaa=aaaaaaaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
