#4798 ⟨a, b | abaababa=bbb⟩

Up:Monoid enumeration
Prev:#4797 ⟨a, b | abaababa=bba⟩
Next:#4799 ⟨a, b | abaabbab=aaa⟩

Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. (aba)2ba ⇒ b3 [1]
2. b2(ba)3 ⇒ aba2b4 [2]
3. b4a2(ba)2 ⇒ (aba)2b4 [3]
# ab:abaababa=bbb ab - -
abaababa=bbb
bbbababa=abaabbbb
bbbbaababa=abaababbbb

Other submonoids of same group

1 unique, 7 total

Σ#PresentationPropertiesφ
101377⟨a, b | aaabbabbba=1⟩Grp Inf6