#16553 ⟨a, b | abb=aa, bbb=abb⟩

Up:Monoids with two generators and two relations
Prev:#16551 ⟨a, b | aba=bb, bbb=aaa⟩
Next:#16556 ⟨a, b | abb=bb, bbb=abb⟩

Quick links

  1. Properties
  2. Rewriting system

Properties

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
#RuleProof
1. b5 ⇒ b4 [5]
2. ab2 ⇒ b3 [2]
3. b3a ⇒ b4 [4]
4. a2 ⇒ b3 [3]
# ab:abb=aa,bbb=abb b/a
bbbbb=bbbb
abb=bbb
bbba=bbbb
aa=bbb