#13223 ⟨
a
,
b
|
baa
=
aab
,
bab
=
ab
⟩
Up:
Monoids with two generators and two relations
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#13221
⟨
a
,
b
|
abb
=
aba
,
bbb
=
bb
⟩
Next:
#13224
⟨
a
,
b
|
baa
=
aab
,
bab
=
bb
⟩
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
b
a
2
⇒
a
2
b
bab
⇒
ab
a
2
b
2
⇒
a
2
b
# ab:baa=aab,bab=ab ab baa=aab bab=ab aabb=aab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
