#2342 ⟨
a
,
b
|
ababbba
=
bbb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2341
⟨
a
,
b
|
ababbba
=
bba
⟩
Next:
#2343
⟨
a
,
b
|
abbaaab
=
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
aba
b
3
a
⇒
b
3
b
(
b
3
a
)
2
⇒
aba
b
6
# ab:ababbba=bbb ab ababbba=bbb bbbbabbba=ababbbbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
