#13164 ⟨a, b | aba=aab, baa=ba⟩

Up:Monoids with two generators and two relations
Prev:#13163 ⟨a, b | aba=aab, baa=ab⟩
Next:#13165 ⟨a, b | aba=aab, baa=bb⟩

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. ca ⇒ c
  2. cb ⇒ c2
  3. ba ⇒ c
  4. a2c ⇒ ac
  5. a2b ⇒ ac 
# ab:aba=aab,baa=ba acb ba=c frequency:2/0
ca=c
cb=cc
ba=c
aac=ac
aab=ac

Right Cayley graph (truncated)

Left Cayley graph (truncated)