#3858 ⟨
a
,
b
|
aaba
=
ab
,
bbbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#3845
⟨
a
,
b
|
aaba
=
aa
,
bbbb
=1⟩
Next:
#3871
⟨
a
,
b
|
aaba
=
ba
,
bbbb
=1⟩
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
2
ba
⇒
ab
a
b
2
a
⇒
a
2
b
2
b
4
⇒ 1
a
(
ba
)
2
⇒
a
b
2
a
b
3
a
⇒
aba
b
2
# ab:aaba=ab,bbbb=1 ab aaba=ab abba=aabb bbbb=1 ababa=abb abbba=ababb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
