#20135 ⟨a, b | aab=b, baba=bbb⟩

Up:Monoids with two generators and two relations
Prev:#20134 ⟨a, b | aab=b, baba=bba⟩
Next:#20140 ⟨a, b | aab=b, babb=baa⟩

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. b8 ⇒ b5 [7]
2. b7a ⇒ b4a [6]
3. b4ab ⇒ b6a [5]
4. bab2 ⇒ b3ab [3]
5. b4a2 ⇒ b7 [9]
6. (ba)2 ⇒ b3 [2]
7. a2b ⇒ b [1]
# ab:aab=b,baba=bbb reversed:b/a
bbbbbbbb=bbbbb
bbbbbbba=bbbba
bbbbab=bbbbbba
babb=bbbab
bbbbaa=bbbbbbb
baba=bbb
aab=b