#16518 ⟨a, b | aab=bb, abb=aaa⟩

Up:Monoids with two generators and two relations
Prev:#16515 ⟨a, b | aab=ba, bbb=aaa⟩
Next:#16521 ⟨a, b | aab=bb, bab=aaa⟩

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. a5 ⇒ a3 [4]
2. ba3 ⇒ a3 [6]
3. a3b ⇒ a3 [2]
4. b2 ⇒ a2b [1]
5. ba2b ⇒ a4 [3]
# ab:aab=bb,abb=aaa a/b
aaaaa=aaa
baaa=aaa
aaab=aaa
bb=aab
baab=aaaa