#20104 ⟨a, b | aab=b, abbb=aaa⟩

Up:Monoids with two generators and two relations
Prev:#20103 ⟨a, b | aab=b, abba=bbb⟩
Next:#20111 ⟨a, b | aab=b, abbb=bbb⟩

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. a5 ⇒ a3 [6]
2. ba2 ⇒ b [8]
3. a2b ⇒ b [1]
4. b3 ⇒ a4 [3]
# ab:aab=b,abbb=aaa a/b
aaaaa=aaa
baa=b
aab=b
bbb=aaaa