#16375 ⟨
a
,
b
|
aba
=
ab
,
aaaa
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#16373
⟨
a
,
b
|
aba
=
ab
,
aaaa
=
aa
⟩
Next:
#16378
⟨
a
,
b
|
aba
=
ab
,
aaab
=
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 recursive path with deg(
a
) = 0; deg(
b
) = 1
a
6
⇒
a
5
ba
⇒
a
4
ab
⇒
a
5
# ab:aba=ab,aaaa=ba a/b aaaaaa=aaaaa ba=aaaa ab=aaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
