#28259 ⟨
a
,
b
|
aa
=1,
babab
=
bbbb
⟩
Up:
Monoids with two generators and two relations
Prev:
#28223
⟨
a
,
b
|
aa
=1,
abbbb
=
bbbb
⟩
Next:
#28270
⟨
a
,
b
|
aa
=1,
babbb
=
baba
⟩
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
⇒ 1
b
(
ab
)
2
⇒
b
4
b
4
ab
⇒
ba
b
4
# ab:aa=1,babab=bbbb ab aa=1 babab=bbbb bbbbab=babbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
