#5120 ⟨
a
,
b
|
aab
=
aa
,
bbab
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#5117
⟨
a
,
b
|
aab
=
aa
,
babb
=
b
⟩
Next:
#5121
⟨
a
,
b
|
aab
=
aa
,
bbab
=
b
⟩
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
b
⇒
a
2
b
2
a
2
⇒ (
ab
)
2
b
2
ab
⇒
a
a
(
ba
)
2
⇒
ab
a
2
aba
b
2
⇒ (
ab
)
2
# ab:aab=aa,bbab=a ab aab=aa bbaa=abab bbab=a ababa=abaa ababb=abab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
