#2743 ⟨
a
,
b
|
baaab
=
aabaa
⟩
Up:
Monoids with two generators and one relation
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#2742
⟨
a
,
b
|
baaab
=
aaaba
⟩
Next:
#2744
⟨
a
,
b
|
baaab
=
aabba
⟩
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:
aabaa=c
c
a
2
⇒
bac
cab
⇒
a
2
c
cb
a
2
⇒
a
2
bc
a
2
b
a
2
⇒
c
b
a
3
b
⇒
c
# ab:baaab=aabaa abc aabaa=c magic:0 caa=bac cab=aac cbaa=aabc aabaa=c baaab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
