#14789 ⟨a, b | abab=a, bbbba=a⟩

Up:Monoids with two generators and two relations
Prev:#14729 ⟨a, b | abab=a, aaaaa=a⟩
Next:#14793 ⟨a, b | abba=a, aaaaa=a⟩

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. a3 ⇒ a [7]
2. aba ⇒ a2b [3]
3. ab2 ⇒ a2 [8]
4. b4a ⇒ a [2]
# ab:abab=a,bbbba=a ab
aaa=a
aba=aab
abb=aa
bbbba=a