#856 ⟨
a
,
b
|
ababbbba
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#855
⟨
a
,
b
|
ababbbba
=
a
⟩
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#857
⟨
a
,
b
|
abbaaaab
=
a
⟩
Properties
Presentation has sum-of-sides 9
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
aba
b
5
⇒
b
2
a
b
4
a
aba
b
4
a
⇒
b
# ab:ababbbba=b ba ababbbbb=bbabbbba ababbbba=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
