#19831 ⟨a, b | aaa=a, baab=abb⟩

Up:Monoids with two generators and two relations
Prev:#19830 ⟨a, b | aaa=a, baab=aba⟩
Next:#19832 ⟨a, b | aaa=a, baab=bab⟩

Properties

Complete rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
  1. a3 ⇒ a
  2. a2c ⇒ c
  3. ac2 ⇒ c2
  4. (ac)2 ⇒ cac
  5. aca2b ⇒ ca2b
  6. bc ⇒ ca2b
  7. bac ⇒ cb
  8. ab2 ⇒ c
  9. ba2b ⇒ c 
# ab:aaa=a,baab=abb reversed:ac/b abb=c frequency:3/0
aaa=a
aac=c
acc=cc
acac=cac
acaab=caab
bc=caab
bac=cb
abb=c
baab=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)