#13155 ⟨
a
,
b
|
aba
=
aaa
,
bbb
=
aa
⟩
Up:
Monoids with two generators and two relations
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#13154
⟨
a
,
b
|
aba
=
aaa
,
bab
=
bb
⟩
Next:
#13156
⟨
a
,
b
|
aba
=
aaa
,
bbb
=
ab
⟩
Properties
Presentation has sum-of-sides 11
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
aba
⇒
a
3
b
a
2
⇒
a
2
b
b
3
⇒
a
2
a
3
b
⇒
a
4
a
2
b
2
a
⇒
a
5
a
6
⇒
a
5
# ab:aba=aaa,bbb=aa ab aba=aaa baa=aab bbb=aa aaab=aaaa aabba=aaaaa aaaaaa=aaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
