#6686 ⟨
a
,
b
|
aab
=
b
,
abba
=
aa
⟩
Up:
Monoids with two generators and two relations
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#6685
⟨
a
,
b
|
aab
=
b
,
abab
=
bb
⟩
Next:
#6688
⟨
a
,
b
|
aab
=
b
,
abba
=
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
a
<
b
a
2
b
⇒
b
b
2
a
⇒
a
3
b
3
⇒
b
a
4
⇒
a
2
b
a
3
⇒
ba
# ab:aab=b,abba=aa ab aab=b bba=aaa bbb=b aaaa=aa baaa=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
