#12562 ⟨a, b | abba=aa, babb=a⟩

Up:Monoids with two generators and two relations
Prev:#12559 ⟨a, b | abba=aa, baab=b⟩
Next:#12563 ⟨a, b | abba=aa, babb=b⟩

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. ba2 ⇒ a2 [5]
2. a2b2 ⇒ aba [4]
3. ab2a ⇒ a2 [1]
4. (ba)2 ⇒ aba [6]
5. bab2 ⇒ a [2]
# ab:abba=aa,babb=a ab
baa=aa
aabb=aba
abba=aa
baba=aba
babb=a