#6693 ⟨
a
,
b
|
aab
=
b
,
abbb
=
bb
⟩
Up:
Monoids with two generators and two relations
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#6688
⟨
a
,
b
|
aab
=
b
,
abba
=
ba
⟩
Next:
#6696
⟨
a
,
b
|
aab
=
b
,
baaa
=
ba
⟩
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
b
<
a
a
b
2
⇒
b
3
a
2
b
⇒
b
b
4
⇒
b
2
# ab:aab=b,abbb=bb ba abb=bbb aab=b bbbb=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
