#19825 ⟨a, b | aaa=a, abbb=bab⟩

Up:Monoids with two generators and two relations
Prev:#19824 ⟨a, b | aaa=a, abbb=baa⟩
Next:#19826 ⟨a, b | aaa=a, abbb=bba⟩

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. ab15 ⇒ ab9 [4]
2. bab ⇒ ab3 [2]
3. ba2b3 ⇒ a2b7 [3]
4. a3 ⇒ a [1]
# ab:aaa=a,abbb=bab b/a
abbbbbbbbbbbbbbb=abbbbbbbbb
bab=abbb
baabbb=aabbbbbbb
aaa=a