#12554 ⟨
a
,
b
|
abba
=
aa
,
abbb
=
a
⟩
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Monoids with two generators and two relations
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#12553
⟨
a
,
b
|
abab
=
bb
,
bbbb
=
b
⟩
Next:
#12557
⟨
a
,
b
|
abba
=
aa
,
baaa
=
b
⟩
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
a
b
2
a
⇒
a
2
a
b
3
⇒
a
# ab:abba=aa,abbb=a ab abba=aa abbb=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
