#16370 ⟨a, b | aba=aa, bbbb=aa⟩

Up:Monoids with two generators and two relations
Prev:#16369 ⟨a, b | aba=aa, babb=bb⟩
Next:#16371 ⟨a, b | aba=aa, bbbb=ab⟩

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. b9 ⇒ b8
  2. ab5 ⇒ ab4
  3. bab4 ⇒ ab4
  4. b4a ⇒ ab4
  5. a2 ⇒ b4
  6. aba ⇒ b4 
# ab:aba=aa,bbbb=aa b/a
bbbbbbbbb=bbbbbbbb
abbbbb=abbbb
babbbb=abbbb
bbbba=abbbb
aa=bbbb
aba=bbbb

Right Cayley graph (truncated)

Left Cayley graph (truncated)