#13029 ⟨a, b | abb=aba, baaa=b⟩

Up:Monoids with two generators and two relations
Prev:#13020 ⟨a, b | abb=aba, abaa=a⟩
Next:#13036 ⟨a, b | abb=aba, bbaa=a⟩

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. b2a ⇒ b3 [5]
2. aba ⇒ ab2 [1]
3. ba3 ⇒ b [2]
4. b5 ⇒ b2 [6]
5. ab4 ⇒ ab [7]
# ab:abb=aba,baaa=b ba
bba=bbb
aba=abb
baaa=b
bbbbb=bb
abbbb=ab