#1796 ⟨
a
,
b
|
ababbbaba
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#1795
⟨
a
,
b
|
ababbbaba
=
a
⟩
Next:
#1797
⟨
a
,
b
|
ababbbbba
=
a
⟩
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
aba
b
3
aba
⇒
b
(
b
2
ab
)
2
a
⇒
a
(
ba
b
2
)
2
# ab:ababbbaba=b ab bbbbaba=ababbbb ababbbaba=b bbabbbaba=ababbbabb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
