#2756 ⟨
a
,
b
|
baabb
=
aabba
⟩
Up:
Monoids with two generators and one relation
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#2755
⟨
a
,
b
|
baabb
=
aabaa
⟩
Next:
#2757
⟨
a
,
b
|
baabb
=
abaaa
⟩
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
b
<
a
<
c
Auxiliary generator:
aab=c
a
2
b
⇒
c
cba
⇒
bcb
b
2
c
b
2
⇒
cbc
cbc
b
2
⇒
a
2
cbc
cb
c
2
b
2
⇒
b
2
c
2
bc
# ab:baabb=aabba bac aab=c frequency:3/0 aab=c cba=bcb bbcbb=cbc cbcbb=aacbc cbccbb=bbccbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
