#2002 ⟨a, b | aabbbaab=ba⟩

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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. a(aca2(ac)3a3ca2(aca3cac)2)2 ⇒ ca
  2. ba ⇒ aca2b
  3. bc ⇒ (ac)2b
  4. ab3 ⇒ c 
# ab:aabbbaab=ba reversed:ac/b abbb=c frequency:4/3
aacaaacacacaaacaaacaaacacacaaacacacaaacacacaaacaaacaaacacacaaacac=ca
ba=acaab
bc=acacb
abbb=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)