#2112 ⟨
a
,
b
|
aaaaaba
=
bbb
⟩
Up:
Monoids with two generators and one relation
Prev:
#2111
⟨
a
,
b
|
aaaaaba
=
bba
⟩
Next:
#2113
⟨
a
,
b
|
aaaaabb
=
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
a
5
ba
⇒
b
3
b
3
a
4
ba
⇒
a
5
b
4
# ab:aaaaaba=bbb ab aaaaaba=bbb bbbaaaaba=aaaaabbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
