#25195 ⟨
a
,
b
|
aa
=
a
,
ababb
=
bab
⟩
Up:
Monoids with two generators and two relations
Prev:
#25193
⟨
a
,
b
|
aa
=
a
,
ababb
=
abb
⟩
Next:
#25196
⟨
a
,
b
|
aa
=
a
,
ababb
=
bba
⟩
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
a
2
⇒
a
(
ab
)
2
⇒
bab
ba
b
2
⇒
bab
a
b
2
ab
⇒
b
2
ab
b
3
ab
⇒
b
2
ab
# ab:aa=a,ababb=bab ab aa=a abab=bab babb=bab abbab=bbab bbbab=bbab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
