#19156 ⟨a, b | aba=a, bbabbb=a⟩

Up:Monoids with two generators and two relations
Prev:#19155 ⟨a, b | aba=a, bbaabb=b⟩
Next:#19159 ⟨a, b | aba=a, bbbbbb=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. a6 ⇒ a [8]
2. aba ⇒ a [1]
3. b2a ⇒ a4 [7]
4. ab3 ⇒ a3 [6]
# ab:aba=a,bbabbb=a a/b
aaaaaa=a
aba=a
bba=aaaa
abbb=aaa