#16333 ⟨a, b | aab=bb, bbbb=aa⟩

Up:Monoids with two generators and two relations
Prev:#16332 ⟨a, b | aab=bb, bbba=bb⟩
Next:#16334 ⟨a, b | aab=bb, bbbb=ab⟩

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. a8 ⇒ a2 [7]
2. ba2 ⇒ a4 [6]
3. a2b ⇒ a4 [4]
4. b2 ⇒ a4 [8]
# ab:aab=bb,bbbb=aa a/b
aaaaaaaa=aa
baa=aaaa
aab=aaaa
bb=aaaa