#16297 ⟨a, b | aab=bb, abba=aa⟩

Up:Monoids with two generators and two relations
Prev:#16296 ⟨a, b | aab=bb, abab=bb⟩
Next:#16298 ⟨a, b | aab=bb, abba=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. a6 ⇒ a2 [5]
2. ba2 ⇒ a4 [8]
3. a2ba ⇒ a5 [6]
4. b2 ⇒ a2b [1]
# ab:aab=bb,abba=aa a/b
aaaaaa=aa
baa=aaaa
aaba=aaaaa
bb=aab