#2066 ⟨
a
,
b
|
ababbaba
=
bb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2065
⟨
a
,
b
|
ababbaba
=
ab
⟩
Next:
#2067
⟨
a
,
b
|
ababbbba
=
aa
⟩
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
4
aba
⇒
aba
b
4
a
(
bab
)
2
a
⇒
b
2
b
(
b
2
a
)
2
ba
⇒
aba
b
2
a
b
3
# ab:ababbaba=bb ab bbbbaba=ababbbb ababbaba=bb bbbabbaba=ababbabbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
