#13232 ⟨
a
,
b
|
baa
=
abb
,
bab
=
aa
⟩
Up:
Monoids with two generators and two relations
Prev:
#13231
⟨
a
,
b
|
baa
=
aab
,
bbb
=
bb
⟩
Next:
#13233
⟨
a
,
b
|
baa
=
abb
,
bab
=
ab
⟩
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:
Right-to-left recursive path with deg(
b
) = 0; deg(
a
) = 1
b
6
ab
⇒
b
5
ab
a
b
2
⇒
b
2
ab
a
2
⇒
bab
b
(
ba
)
2
⇒
b
5
ab
(
ab
)
2
⇒ (
ba
)
2
# ab:baa=abb,bab=aa reversed:b/a bbbbbbab=bbbbbab abb=bbab aa=bab bbaba=bbbbbab abab=baba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
