#20234 ⟨a, b | aba=a, babb=aaa⟩

Up:Monoids with two generators and two relations
Prev:#20233 ⟨a, b | aba=a, baab=bbb⟩
Next:#20235 ⟨a, b | aba=a, babb=aab⟩

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. a8 ⇒ a3 [5]
2. ba3 ⇒ a7 [4]
3. aba ⇒ a [1]
4. ab2 ⇒ a4 [3]
# ab:aba=a,babb=aaa a/b
aaaaaaaa=aaa
baaa=aaaaaaa
aba=a
abb=aaaa