#24142 ⟨a, b | aa=a, abbbbab=a⟩

Up:Monoids with two generators and two relations
Prev:#24140 ⟨a, b | aa=a, abbbabb=a⟩
Next:#24144 ⟨a, b | aa=a, abbbbba=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. a2 ⇒ a [1]
2. aba ⇒ ab [11]
3. ab2a ⇒ ab2 [12]
4. ab3a ⇒ ab3 [14]
5. ab4a ⇒ ab4 [13]
6. ab5 ⇒ a [10]
# ab:aa=a,abbbbab=a ab
aa=a
aba=ab
abba=abb
abbba=abbb
abbbba=abbbb
abbbbb=a