#2360 ⟨
a
,
b
|
abbbbba
=
abb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2359
⟨
a
,
b
|
abbbbba
=
aba
⟩
Next:
#2361
⟨
a
,
b
|
abbbbba
=
bab
⟩
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
c
<
b
<
a
Auxiliary generator:
abbbb=c
c
b
2
⇒
cbc
a
b
2
⇒
cba
(
cb
)
2
a
⇒
c
# ab:abbbbba=abb cba abbbb=c frequency:5/1 cbb=cbc abb=cba cbcba=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
