#191 ⟨
a
,
b
|
ababab
=
a
⟩
Up:
Monoids with two generators and one relation
Prev:
#189
⟨
a
,
b
|
abaaba
=
a
⟩
Next:
#192
⟨
a
,
b
|
ababba
=
a
⟩
Properties
Presentation has sum-of-sides 7
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
b
<
a
a
2
b
⇒
aba
(
ab
)
3
⇒
a
# ab:ababab=a ba aab=aba ababab=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
