#2675 ⟨a, b | abaab=aabba⟩

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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. ad ⇒ a2ca
  2. cb ⇒ bc
  3. ca2b ⇒ bd
  4. a2cab ⇒ aba2c
  5. a2ca3b ⇒ aba3ca
  6. db ⇒ ba2c
  7. da2b ⇒ ba3ca
  8. b2 ⇒ c
  9. ba2b ⇒ d 
# ab:abaab=aabba ac/d/b bb=c,baab=d frequency:2/3,4/1
ad=aaca
cb=bc
caab=bd
aacab=abaac
aacaaab=abaaaca
db=baac
daab=baaaca
bb=c
baab=d

Right Cayley graph (truncated)

Left Cayley graph (truncated)