#7206 ⟨
a
,
b
|
bb
=
aa
,
bab
=
aba
⟩
Up:
Monoids with two generators and two relations
Prev:
#7200
⟨
a
,
b
|
bb
=
aa
,
abb
=
aaa
⟩
Next:
#7249
⟨
a
,
b
|
aaa
=1,
ababbbb
=1⟩
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
b
2
⇒
a
2
b
a
2
⇒
a
2
b
bab
⇒
aba
# ab:bb=aa,bab=aba ab bb=aa baa=aab bab=aba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
