#2744 ⟨
a
,
b
|
baaab
=
aabba
⟩
Up:
Monoids with two generators and one relation
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#2743
⟨
a
,
b
|
baaab
=
aabaa
⟩
Next:
#2745
⟨
a
,
b
|
baaab
=
ababa
⟩
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
<
c
Auxiliary generator:
aabba=c
cba
⇒
bac
c
a
2
b
⇒
a
2
bc
a
2
b
2
a
⇒
c
b
a
3
b
⇒
c
c
a
3
b
⇒
b
a
3
c
ca
b
2
a
⇒
a
2
b
2
c
# ab:baaab=aabba abc aabba=c magic:0 cba=bac caab=aabc aabba=c baaab=c caaab=baaac cabba=aabbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
