#2232 ⟨a, b | aababaa=aab⟩

Up:Monoids with two generators and one relation
Prev:#2231 ⟨a, b | aababaa=aaa⟩
Next:#2233 ⟨a, b | aababaa=aba⟩

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. cb ⇒ c2
  2. a2b ⇒ a2c
  3. cab ⇒ cac
  4. baba2 ⇒ c
  5. c2aca2 ⇒ c2
  6. a(ac)2a2 ⇒ a2c
  7. (ca)3a ⇒ cac 
# ab:aababaa=aab acb babaa=c frequency:5/0
cb=cc
aab=aac
cab=cac
babaa=c
ccacaa=cc
aacacaa=aac
cacacaa=cac

Right Cayley graph (truncated)

Left Cayley graph (truncated)