#1582 ⟨
a
,
b
|
aaa
=
aa
,
bab
=
a
⟩
Up:
Monoids with two generators and two relations
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#1581
⟨
a
,
b
|
aaa
=
aa
,
abb
=
b
⟩
Next:
#1583
⟨
a
,
b
|
aaa
=
aa
,
bab
=
b
⟩
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
a
<
b
a
3
⇒
a
2
b
a
2
⇒
a
2
b
bab
⇒
a
a
2
ba
⇒
a
2
b
a
2
b
2
⇒
a
2
# ab:aaa=aa,bab=a ab aaa=aa baa=aab bab=a aaba=aab aabb=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
