#22809 ⟨
a
,
b
|
aaa
=1,
abbab
=
bbb
⟩
Up:
Monoids with two generators and two relations
Prev:
#22808
⟨
a
,
b
|
aaa
=1,
abbab
=
bba
⟩
Next:
#22815
⟨
a
,
b
|
aaa
=1,
abbba
=
bbb
⟩
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
b
<
a
a
3
⇒ 1
a
b
2
ab
⇒
b
3
a
2
b
3
⇒
b
2
ab
a
b
5
⇒
b
4
ab
a
b
4
ab
⇒
b
2
a
b
3
# ab:aaa=1,abbab=bbb ba aaa=1 abbab=bbb aabbb=bbab abbbbb=bbbbab abbbbab=bbabbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
