#13246 ⟨
a
,
b
|
bab
=
aaa
,
bba
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#13245
⟨
a
,
b
|
bab
=
aaa
,
bba
=
ab
⟩
Next:
#13247
⟨
a
,
b
|
bab
=
aaa
,
bba
=
bb
⟩
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
b
<
a
b
2
a
⇒
ba
a
3
⇒
bab
(
ab
)
2
⇒ (
ba
)
2
bab
a
2
b
⇒
bab
a
2
# ab:bab=aaa,bba=ba ba bba=ba aaa=bab abab=baba babaab=babaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
