#16290 ⟨
a
,
b
|
aab
=
bb
,
abaa
=
ab
⟩
Up:
Monoids with two generators and two relations
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#16289
⟨
a
,
b
|
aab
=
bb
,
abaa
=
aa
⟩
Next:
#16291
⟨
a
,
b
|
aab
=
bb
,
abaa
=
ba
⟩
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 recursive path with deg(
a
) = 0; deg(
b
) = 1
ab
a
2
⇒
ab
a
5
b
⇒
a
3
b
b
2
⇒
a
2
b
b
a
2
b
⇒
a
4
b
b
a
4
b
⇒
a
4
b
# ab:aab=bb,abaa=ab a/b abaa=ab aaaaab=aaab bb=aab baab=aaaab baaaab=aaaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
