#16193 ⟨
a
,
b
|
aab
=
ab
,
bbaa
=
aa
⟩
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Monoids with two generators and two relations
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#16192
⟨
a
,
b
|
aab
=
ab
,
babb
=
bb
⟩
Next:
#16194
⟨
a
,
b
|
aab
=
ab
,
bbaa
=
ab
⟩
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
2
b
⇒
ab
a
4
⇒
a
3
b
2
a
2
⇒
a
2
b
2
ab
⇒
ab
# ab:aab=ab,bbaa=aa ab aab=ab aaaa=aaa bbaa=aa bbab=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
