#25210 ⟨
a
,
b
|
aa
=
a
,
abbba
=
bab
⟩
Up:
Monoids with two generators and two relations
Prev:
#25209
⟨
a
,
b
|
aa
=
a
,
abbba
=
abb
⟩
Next:
#25211
⟨
a
,
b
|
aa
=
a
,
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
a
<
b
a
2
⇒
a
(
ab
)
2
⇒
bab
(
ba
)
2
⇒
bab
b
2
ab
⇒
ba
b
2
a
b
3
a
⇒
bab
ba
b
2
a
⇒
ba
b
2
ba
b
3
⇒
ba
b
2
# ab:aa=a,abbba=bab ab aa=a abab=bab baba=bab bbab=babb abbba=bab babba=babb babbb=babb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
