#2354 ⟨
a
,
b
|
abbabba
=
abb
⟩
Up:
Monoids with two generators and one relation
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#2353
⟨
a
,
b
|
abbabba
=
aba
⟩
Next:
#2355
⟨
a
,
b
|
abbabba
=
bab
⟩
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
<
c
<
b
Auxiliary generator:
abb=c
a
b
2
⇒
c
c
2
a
⇒
c
c
b
2
⇒
c
3
# ab:abbabba=abb acb abb=c magic:0 abb=c cca=c cbb=ccc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
