#2556 ⟨a, b | aabbba=baab⟩

Up:Monoids with two generators and one relation
Prev:#2555 ⟨a, b | aabbba=baaa⟩
Next:#2557 ⟨a, b | aabbba=baba⟩

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. cbab ⇒ bc [5]
2. a2b2 ⇒ c [2]
3. ba2b ⇒ cba [3]
4. (cba)2 ⇒ bca2b [7]
5. a2bcba ⇒ ca2b [4]
6. ca(ab)2 ⇒ a2bc2ba [8]
7. cba3b ⇒ ba2cba [6]
# ab:aabbba=baab bc/a aabb=c morph:4/1
cbab=bc
aabb=c
baab=cba
cbacba=bcaab
aabcba=caab
caabab=aabccba
cbaaab=baacba