#2322 ⟨a, b | ababaab=aab⟩

Up:Monoids with two generators and one relation
Prev:#2321 ⟨a, b | ababaab=aaa⟩
Next:#2323 ⟨a, b | ababaab=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. a2c ⇒ cabc
  2. (ab)2c ⇒ c
  3. cabac ⇒ acabc
  4. a3b ⇒ c
  5. a(ba)2c ⇒ ac
  6. caba2b ⇒ ac
  7. (ab)2a2b ⇒ a2b 
# ab:ababaab=aab bc/a aaab=c frequency:4/1
aac=cabc
ababc=c
cabac=acabc
aaab=c
ababac=ac
cabaab=ac
ababaab=aab

Right Cayley graph (truncated)

Left Cayley graph (truncated)