#20304 ⟨
a
,
b
|
aba
=
b
,
baab
=
bab
⟩
Up:
Monoids with two generators and two relations
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#20303
⟨
a
,
b
|
aba
=
b
,
baab
=
abb
⟩
Next:
#20305
⟨
a
,
b
|
aba
=
b
,
baab
=
bbb
⟩
Properties
Presentation has sum-of-sides 11
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
aba
⇒
b
a
b
2
⇒
b
2
bab
⇒
b
2
b
2
a
⇒
b
2
b
a
2
b
⇒
b
2
# ab:aba=b,baab=bab ab aba=b abb=bb bab=bb bba=bb baab=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
