#1206 ⟨
a
,
b
|
aabaa
=
bbbb
⟩
Up:
Monoids with two generators and one relation
Prev:
#1205
⟨
a
,
b
|
aabaa
=
babb
⟩
Next:
#1207
⟨
a
,
b
|
aabab
=
aaaa
⟩
Properties
Presentation has sum-of-sides 9
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
2
b
a
2
⇒
b
4
b
5
a
2
⇒
a
2
b
5
b
4
ab
a
2
⇒
a
2
ba
b
4
# ab:aabaa=bbbb ab aabaa=bbbb bbbbbaa=aabbbbb bbbbabaa=aababbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
